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Finding the Fourth Proportional to 87.05, 129.96 and 74.87

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Solution

The fourth proportional to 87.05, 129.96 and 74.87 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 129.96 = 74.87 : x
  2. Step 2: Convert to fraction form
    87.05/129.96 = 74.87/x
  3. Step 3: Cross multiply
    87.05x = 129.96 × 74.87
  4. Step 4: Simplify right side
    87.05x = 9,729.46
  5. Step 5: Solve for x
    x = 9,729.46/87.05
  6. Step 6: Final answer
    x = 111.77

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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.