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Finding the Fourth Proportional to 87.24, 130.89 and 55.20

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Solution

The fourth proportional to 87.24, 130.89 and 55.20 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.24 : 130.89 = 55.20 : x
  2. Step 2: Convert to fraction form
    87.24/130.89 = 55.20/x
  3. Step 3: Cross multiply
    87.24x = 130.89 × 55.20
  4. Step 4: Simplify right side
    87.24x = 7,225.13
  5. Step 5: Solve for x
    x = 7,225.13/87.24
  6. Step 6: Final answer
    x = 82.82

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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.