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Finding the Fourth Proportional to 63.42, 95.04 and 57.57

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Solution

The fourth proportional to 63.42, 95.04 and 57.57 is: 86.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.42 : 95.04 = 57.57 : x
  2. Step 2: Convert to fraction form
    63.42/95.04 = 57.57/x
  3. Step 3: Cross multiply
    63.42x = 95.04 × 57.57
  4. Step 4: Simplify right side
    63.42x = 5,471.45
  5. Step 5: Solve for x
    x = 5,471.45/63.42
  6. Step 6: Final answer
    x = 86.27

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