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Finding the Fourth Proportional to 41.16, 56.62 and 40.52

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Solution

The fourth proportional to 41.16, 56.62 and 40.52 is: 55.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 56.62 = 40.52 : x
  2. Step 2: Convert to fraction form
    41.16/56.62 = 40.52/x
  3. Step 3: Cross multiply
    41.16x = 56.62 × 40.52
  4. Step 4: Simplify right side
    41.16x = 2,294.24
  5. Step 5: Solve for x
    x = 2,294.24/41.16
  6. Step 6: Final answer
    x = 55.74

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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.