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Finding the Fourth Proportional to 63.71, 87.84 and 49.87

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Solution

The fourth proportional to 63.71, 87.84 and 49.87 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.71 : 87.84 = 49.87 : x
  2. Step 2: Convert to fraction form
    63.71/87.84 = 49.87/x
  3. Step 3: Cross multiply
    63.71x = 87.84 × 49.87
  4. Step 4: Simplify right side
    63.71x = 4,380.79
  5. Step 5: Solve for x
    x = 4,380.79/63.71
  6. Step 6: Final answer
    x = 68.76

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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.