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Finding the Fourth Proportional to 87.98, 131.91 and 49.43

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Solution

The fourth proportional to 87.98, 131.91 and 49.43 is: 74.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 131.91 = 49.43 : x
  2. Step 2: Convert to fraction form
    87.98/131.91 = 49.43/x
  3. Step 3: Cross multiply
    87.98x = 131.91 × 49.43
  4. Step 4: Simplify right side
    87.98x = 6,520.31
  5. Step 5: Solve for x
    x = 6,520.31/87.98
  6. Step 6: Final answer
    x = 74.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.