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Finding the Fourth Proportional to 63.48, 95.42 and 57.09

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Solution

The fourth proportional to 63.48, 95.42 and 57.09 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.48 : 95.42 = 57.09 : x
  2. Step 2: Convert to fraction form
    63.48/95.42 = 57.09/x
  3. Step 3: Cross multiply
    63.48x = 95.42 × 57.09
  4. Step 4: Simplify right side
    63.48x = 5,447.53
  5. Step 5: Solve for x
    x = 5,447.53/63.48
  6. Step 6: Final answer
    x = 85.81

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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.