Write and solve a proportion to answer the question. 75% of 124 is what number a ? Write and solve a proportion to answer the question. 72 is what percent of 45?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Let’s solve both proportion problems<\/strong> step by step.<\/p>\n\n\n\n We can write this as a proportion<\/strong>: 75100=a124\\frac{75}{100} = \\frac{a}{124}<\/p>\n\n\n\n Now, solve the proportion<\/strong> using cross-multiplication: 75\u00d7124=100\u00d7a75 \\times 124 = 100 \\times a 9300=100a9300 = 100a a=9300100=93a = \\frac{9300}{100} = 93<\/p>\n\n\n\n \u2705 Answer<\/strong>: 75% of 124 is 93<\/strong><\/p>\n\n\n\n Let\u2019s call the unknown percent x<\/strong>. The proportion becomes: x100=7245\\frac{x}{100} = \\frac{72}{45}<\/p>\n\n\n\n Now, solve by cross-multiplying: x\u00d745=72\u00d7100x \\times 45 = 72 \\times 100 45x=720045x = 7200 x=720045=160x = \\frac{7200}{45} = 160<\/p>\n\n\n\n \u2705 Answer<\/strong>: 72 is 160%<\/strong> of 45<\/p>\n\n\n\n Proportions<\/strong> are powerful tools in solving percentage problems. A proportion is an equation stating that two ratios are equal. Percentage problems typically involve three quantities: the part<\/strong>, the whole<\/strong>, and the percent<\/strong>. By organizing these into a proportion, we can solve for any one of the unknowns.<\/p>\n\n\n\n Problem 1:<\/strong> When the question asks, “75% of 124 is what number?”<\/em>, we know the percent (75%) and the whole (124), and we’re solving for the part (which we called a<\/em>). We express this as a ratio of percent over 100 set equal to the unknown part over the whole: 75100=a124\\frac{75}{100} = \\frac{a}{124}<\/p>\n\n\n\n Solving gives us a = 93<\/em>, which means 75% of 124 is 93.<\/p>\n\n\n\n Problem 2:<\/strong> When the question asks, “72 is what percent of 45?”<\/em>, we are given the part (72) and the whole (45) and need to find the percent. Again, we set up a proportion: x100=7245\\frac{x}{100} = \\frac{72}{45}<\/p>\n\n\n\n Solving this gives us x = 160<\/em>, meaning 72 is 160% of 45.<\/p>\n\n\n\n This tells us that 72 is not just 100% of 45, but 60% more<\/strong>\u2014it’s more than the whole.<\/p>\n\n\n\n Proportions like these help visualize and solve percentage problems in a structured and reliable way.<\/p>\n","protected":false},"excerpt":{"rendered":" Write and solve a proportion to answer the question. 75% of 124 is what number a ? Write and solve a proportion to answer the question. 72 is what percent of 45? The correct answer and explanation is: Let’s solve both proportion problems step by step. \ud83d\udd39 1. 75% of 124 is what number (a)? […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21056","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21056","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=21056"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21056\/revisions"}],"predecessor-version":[{"id":21057,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21056\/revisions\/21057"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n\ud83d\udd39 1. 75% of 124 is what number (a)?<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd39 2. 72 is what percent of 45?<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (300 words)<\/strong><\/h3>\n\n\n\n
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