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Finding the Fourth Proportional to 63.26, 87.27 and 47.78

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Solution

The fourth proportional to 63.26, 87.27 and 47.78 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.26 : 87.27 = 47.78 : x
  2. Step 2: Convert to fraction form
    63.26/87.27 = 47.78/x
  3. Step 3: Cross multiply
    63.26x = 87.27 × 47.78
  4. Step 4: Simplify right side
    63.26x = 4,169.76
  5. Step 5: Solve for x
    x = 4,169.76/63.26
  6. Step 6: Final answer
    x = 65.91

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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.