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Finding the Fourth Proportional to 91.44, 126.25 and 71.85

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Solution

The fourth proportional to 91.44, 126.25 and 71.85 is: 99.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 126.25 = 71.85 : x
  2. Step 2: Convert to fraction form
    91.44/126.25 = 71.85/x
  3. Step 3: Cross multiply
    91.44x = 126.25 × 71.85
  4. Step 4: Simplify right side
    91.44x = 9,071.68
  5. Step 5: Solve for x
    x = 9,071.68/91.44
  6. Step 6: Final answer
    x = 99.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.