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Finding the Fourth Proportional to 57.38, 85.07 and 56.96

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Solution

The fourth proportional to 57.38, 85.07 and 56.96 is: 84.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.38 : 85.07 = 56.96 : x
  2. Step 2: Convert to fraction form
    57.38/85.07 = 56.96/x
  3. Step 3: Cross multiply
    57.38x = 85.07 × 56.96
  4. Step 4: Simplify right side
    57.38x = 4,845.59
  5. Step 5: Solve for x
    x = 4,845.59/57.38
  6. Step 6: Final answer
    x = 84.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.