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Finding the Fourth Proportional to 41.64, 57.71 and 41.12

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Solution

The fourth proportional to 41.64, 57.71 and 41.12 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.64 : 57.71 = 41.12 : x
  2. Step 2: Convert to fraction form
    41.64/57.71 = 41.12/x
  3. Step 3: Cross multiply
    41.64x = 57.71 × 41.12
  4. Step 4: Simplify right side
    41.64x = 2,373.04
  5. Step 5: Solve for x
    x = 2,373.04/41.64
  6. Step 6: Final answer
    x = 56.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.