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Finding the Fourth Proportional to 87.19, 120.31 and 49.85

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Solution

The fourth proportional to 87.19, 120.31 and 49.85 is: 68.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 120.31 = 49.85 : x
  2. Step 2: Convert to fraction form
    87.19/120.31 = 49.85/x
  3. Step 3: Cross multiply
    87.19x = 120.31 × 49.85
  4. Step 4: Simplify right side
    87.19x = 5,997.45
  5. Step 5: Solve for x
    x = 5,997.45/87.19
  6. Step 6: Final answer
    x = 68.79

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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.