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Finding the Fourth Proportional to 57, 85.26 and 32.82

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Solution

The fourth proportional to 57, 85.26 and 32.82 is: 49.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 85.26 = 32.82 : x
  2. Step 2: Convert to fraction form
    57/85.26 = 32.82/x
  3. Step 3: Cross multiply
    57x = 85.26 × 32.82
  4. Step 4: Simplify right side
    57x = 2,798.23
  5. Step 5: Solve for x
    x = 2,798.23/57
  6. Step 6: Final answer
    x = 49.09

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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.