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Finding the Fourth Proportional to 63.50, 94.76 and 54.86

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Solution

The fourth proportional to 63.50, 94.76 and 54.86 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.50 : 94.76 = 54.86 : x
  2. Step 2: Convert to fraction form
    63.50/94.76 = 54.86/x
  3. Step 3: Cross multiply
    63.50x = 94.76 × 54.86
  4. Step 4: Simplify right side
    63.50x = 5,198.53
  5. Step 5: Solve for x
    x = 5,198.53/63.50
  6. Step 6: Final answer
    x = 81.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.