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Finding the Fourth Proportional to 138.71, 191.43 and 81.97

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Solution

The fourth proportional to 138.71, 191.43 and 81.97 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 191.43 = 81.97 : x
  2. Step 2: Convert to fraction form
    138.71/191.43 = 81.97/x
  3. Step 3: Cross multiply
    138.71x = 191.43 × 81.97
  4. Step 4: Simplify right side
    138.71x = 15,691.04
  5. Step 5: Solve for x
    x = 15,691.04/138.71
  6. Step 6: Final answer
    x = 113.12

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