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Finding the Fourth Proportional to 63.75, 87.75 and 49.92

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Solution

The fourth proportional to 63.75, 87.75 and 49.92 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.75 : 87.75 = 49.92 : x
  2. Step 2: Convert to fraction form
    63.75/87.75 = 49.92/x
  3. Step 3: Cross multiply
    63.75x = 87.75 × 49.92
  4. Step 4: Simplify right side
    63.75x = 4,380.15
  5. Step 5: Solve for x
    x = 4,380.15/63.75
  6. Step 6: Final answer
    x = 68.70

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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.