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Finding the Fourth Proportional to 57.27, 85.82 and 49.64

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Solution

The fourth proportional to 57.27, 85.82 and 49.64 is: 74.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.27 : 85.82 = 49.64 : x
  2. Step 2: Convert to fraction form
    57.27/85.82 = 49.64/x
  3. Step 3: Cross multiply
    57.27x = 85.82 × 49.64
  4. Step 4: Simplify right side
    57.27x = 4,260.10
  5. Step 5: Solve for x
    x = 4,260.10/57.27
  6. Step 6: Final answer
    x = 74.39

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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.