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Finding the Fourth Proportional to 87.43, 120.69 and 55.96

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Solution

The fourth proportional to 87.43, 120.69 and 55.96 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.43 : 120.69 = 55.96 : x
  2. Step 2: Convert to fraction form
    87.43/120.69 = 55.96/x
  3. Step 3: Cross multiply
    87.43x = 120.69 × 55.96
  4. Step 4: Simplify right side
    87.43x = 6,753.81
  5. Step 5: Solve for x
    x = 6,753.81/87.43
  6. Step 6: Final answer
    x = 77.25

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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.