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Finding the Fourth Proportional to 63.87, 95.71 and 42.19

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Solution

The fourth proportional to 63.87, 95.71 and 42.19 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.87 : 95.71 = 42.19 : x
  2. Step 2: Convert to fraction form
    63.87/95.71 = 42.19/x
  3. Step 3: Cross multiply
    63.87x = 95.71 × 42.19
  4. Step 4: Simplify right side
    63.87x = 4,038.00
  5. Step 5: Solve for x
    x = 4,038.00/63.87
  6. Step 6: Final answer
    x = 63.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.