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Finding the Fourth Proportional to 57.31, 78.46 and 56.75

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Solution

The fourth proportional to 57.31, 78.46 and 56.75 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 78.46 = 56.75 : x
  2. Step 2: Convert to fraction form
    57.31/78.46 = 56.75/x
  3. Step 3: Cross multiply
    57.31x = 78.46 × 56.75
  4. Step 4: Simplify right side
    57.31x = 4,452.27
  5. Step 5: Solve for x
    x = 4,452.27/57.31
  6. Step 6: Final answer
    x = 77.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.