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Finding the Fourth Proportional to 87, 130.38 and 52.74

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Solution

The fourth proportional to 87, 130.38 and 52.74 is: 79.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 130.38 = 52.74 : x
  2. Step 2: Convert to fraction form
    87/130.38 = 52.74/x
  3. Step 3: Cross multiply
    87x = 130.38 × 52.74
  4. Step 4: Simplify right side
    87x = 6,876.24
  5. Step 5: Solve for x
    x = 6,876.24/87
  6. Step 6: Final answer
    x = 79.04

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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.