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Finding the Fourth Proportional to 87.27, 120.39 and 52.75

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Solution

The fourth proportional to 87.27, 120.39 and 52.75 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.27 : 120.39 = 52.75 : x
  2. Step 2: Convert to fraction form
    87.27/120.39 = 52.75/x
  3. Step 3: Cross multiply
    87.27x = 120.39 × 52.75
  4. Step 4: Simplify right side
    87.27x = 6,350.57
  5. Step 5: Solve for x
    x = 6,350.57/87.27
  6. Step 6: Final answer
    x = 72.77

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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.