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Finding the Fourth Proportional to 102.29, 141.19 and 81.71

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Solution

The fourth proportional to 102.29, 141.19 and 81.71 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 141.19 = 81.71 : x
  2. Step 2: Convert to fraction form
    102.29/141.19 = 81.71/x
  3. Step 3: Cross multiply
    102.29x = 141.19 × 81.71
  4. Step 4: Simplify right side
    102.29x = 11,536.63
  5. Step 5: Solve for x
    x = 11,536.63/102.29
  6. Step 6: Final answer
    x = 112.78

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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.