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Finding the Fourth Proportional to 81.38, 121.77 and 66.20

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Solution

The fourth proportional to 81.38, 121.77 and 66.20 is: 99.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.38 : 121.77 = 66.20 : x
  2. Step 2: Convert to fraction form
    81.38/121.77 = 66.20/x
  3. Step 3: Cross multiply
    81.38x = 121.77 × 66.20
  4. Step 4: Simplify right side
    81.38x = 8,061.17
  5. Step 5: Solve for x
    x = 8,061.17/81.38
  6. Step 6: Final answer
    x = 99.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.