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Finding the Fourth Proportional to 87.17, 129.83 and 83.49

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Solution

The fourth proportional to 87.17, 129.83 and 83.49 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.17 : 129.83 = 83.49 : x
  2. Step 2: Convert to fraction form
    87.17/129.83 = 83.49/x
  3. Step 3: Cross multiply
    87.17x = 129.83 × 83.49
  4. Step 4: Simplify right side
    87.17x = 10,839.09
  5. Step 5: Solve for x
    x = 10,839.09/87.17
  6. Step 6: Final answer
    x = 124.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.