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MF.PR.8 Standard MF-022-A04-V01

Use proportional reasoning to solve percent problems without relying on memorized templates alone.

Solve a percent proportion with a rotating unknown

Problem

Complete the proportion \(27/w~=~45/100\). What number makes the proportion true?

Percent proportion frame showing 27 over w equals 45 over 100, with the whole position highlighted as the missing value. Open full size
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What this problem is really about

Use the position of each term to identify what is missing: the known part sits above an unknown whole, while the other ratio records the percent out of one hundred. Cross products isolate that whole without changing the meaning of the frame. Finally, substitute it back and verify that the two ratios have the same decimal value.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.8
Category
Proportional Reasoning
Domain
Percents
Objective
Use proportional reasoning to solve percent problems without relying on memorized templates alone.
Problem type
Solve a percent proportion with a rotating unknown