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Finding the Fourth Proportional to 63.67, 87.94 and 41.87

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Solution

The fourth proportional to 63.67, 87.94 and 41.87 is: 57.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.67 : 87.94 = 41.87 : x
  2. Step 2: Convert to fraction form
    63.67/87.94 = 41.87/x
  3. Step 3: Cross multiply
    63.67x = 87.94 × 41.87
  4. Step 4: Simplify right side
    63.67x = 3,682.05
  5. Step 5: Solve for x
    x = 3,682.05/63.67
  6. Step 6: Final answer
    x = 57.83

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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.