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Finding the Fourth Proportional to 87.57, 120.73 and 63.92

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Solution

The fourth proportional to 87.57, 120.73 and 63.92 is: 88.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 120.73 = 63.92 : x
  2. Step 2: Convert to fraction form
    87.57/120.73 = 63.92/x
  3. Step 3: Cross multiply
    87.57x = 120.73 × 63.92
  4. Step 4: Simplify right side
    87.57x = 7,717.06
  5. Step 5: Solve for x
    x = 7,717.06/87.57
  6. Step 6: Final answer
    x = 88.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.