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Finding the Fourth Proportional to 81.92, 113.13 and 66.53

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Solution

The fourth proportional to 81.92, 113.13 and 66.53 is: 91.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.92 : 113.13 = 66.53 : x
  2. Step 2: Convert to fraction form
    81.92/113.13 = 66.53/x
  3. Step 3: Cross multiply
    81.92x = 113.13 × 66.53
  4. Step 4: Simplify right side
    81.92x = 7,526.54
  5. Step 5: Solve for x
    x = 7,526.54/81.92
  6. Step 6: Final answer
    x = 91.88

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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.