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Finding the Fourth Proportional to 87.24, 120.03 and 75.55

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Solution

The fourth proportional to 87.24, 120.03 and 75.55 is: 103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.24 : 120.03 = 75.55 : x
  2. Step 2: Convert to fraction form
    87.24/120.03 = 75.55/x
  3. Step 3: Cross multiply
    87.24x = 120.03 × 75.55
  4. Step 4: Simplify right side
    87.24x = 9,067.67
  5. Step 5: Solve for x
    x = 9,067.67/87.24
  6. Step 6: Final answer
    x = 103.94

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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.