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Finding the Fourth Proportional to 41.16, 61.38 and 38.33

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Solution

The fourth proportional to 41.16, 61.38 and 38.33 is: 57.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 61.38 = 38.33 : x
  2. Step 2: Convert to fraction form
    41.16/61.38 = 38.33/x
  3. Step 3: Cross multiply
    41.16x = 61.38 × 38.33
  4. Step 4: Simplify right side
    41.16x = 2,352.39
  5. Step 5: Solve for x
    x = 2,352.39/41.16
  6. Step 6: Final answer
    x = 57.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.