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Finding the Fourth Proportional to 87, 130.62 and 71.16

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Solution

The fourth proportional to 87, 130.62 and 71.16 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 130.62 = 71.16 : x
  2. Step 2: Convert to fraction form
    87/130.62 = 71.16/x
  3. Step 3: Cross multiply
    87x = 130.62 × 71.16
  4. Step 4: Simplify right side
    87x = 9,294.92
  5. Step 5: Solve for x
    x = 9,294.92/87
  6. Step 6: Final answer
    x = 106.84

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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.