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Finding the Fourth Proportional to 64.17, 95.78 and 57.42

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Solution

The fourth proportional to 64.17, 95.78 and 57.42 is: 85.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.17 : 95.78 = 57.42 : x
  2. Step 2: Convert to fraction form
    64.17/95.78 = 57.42/x
  3. Step 3: Cross multiply
    64.17x = 95.78 × 57.42
  4. Step 4: Simplify right side
    64.17x = 5,499.83
  5. Step 5: Solve for x
    x = 5,499.83/64.17
  6. Step 6: Final answer
    x = 85.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.