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Finding the Fourth Proportional to 41.62, 57.45 and 31.27

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Solution

The fourth proportional to 41.62, 57.45 and 31.27 is: 43.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.62 : 57.45 = 31.27 : x
  2. Step 2: Convert to fraction form
    41.62/57.45 = 31.27/x
  3. Step 3: Cross multiply
    41.62x = 57.45 × 31.27
  4. Step 4: Simplify right side
    41.62x = 1,796.31
  5. Step 5: Solve for x
    x = 1,796.31/41.62
  6. Step 6: Final answer
    x = 43.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.