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Finding the Fourth Proportional to 57.52, 85.67 and 56.44

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Solution

The fourth proportional to 57.52, 85.67 and 56.44 is: 84.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.52 : 85.67 = 56.44 : x
  2. Step 2: Convert to fraction form
    57.52/85.67 = 56.44/x
  3. Step 3: Cross multiply
    57.52x = 85.67 × 56.44
  4. Step 4: Simplify right side
    57.52x = 4,835.21
  5. Step 5: Solve for x
    x = 4,835.21/57.52
  6. Step 6: Final answer
    x = 84.06

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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.