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Finding the Fourth Proportional to 63.50, 87.17 and 57.96

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Solution

The fourth proportional to 63.50, 87.17 and 57.96 is: 79.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.50 : 87.17 = 57.96 : x
  2. Step 2: Convert to fraction form
    63.50/87.17 = 57.96/x
  3. Step 3: Cross multiply
    63.50x = 87.17 × 57.96
  4. Step 4: Simplify right side
    63.50x = 5,052.08
  5. Step 5: Solve for x
    x = 5,052.08/63.50
  6. Step 6: Final answer
    x = 79.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.