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Finding the Fourth Proportional to 41.18, 57.22 and 40.74

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Solution

The fourth proportional to 41.18, 57.22 and 40.74 is: 56.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.18 : 57.22 = 40.74 : x
  2. Step 2: Convert to fraction form
    41.18/57.22 = 40.74/x
  3. Step 3: Cross multiply
    41.18x = 57.22 × 40.74
  4. Step 4: Simplify right side
    41.18x = 2,331.14
  5. Step 5: Solve for x
    x = 2,331.14/41.18
  6. Step 6: Final answer
    x = 56.61

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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.