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Finding the Fourth Proportional to 41.16, 61.72 and 20.88

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Solution

The fourth proportional to 41.16, 61.72 and 20.88 is: 31.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 61.72 = 20.88 : x
  2. Step 2: Convert to fraction form
    41.16/61.72 = 20.88/x
  3. Step 3: Cross multiply
    41.16x = 61.72 × 20.88
  4. Step 4: Simplify right side
    41.16x = 1,288.71
  5. Step 5: Solve for x
    x = 1,288.71/41.16
  6. Step 6: Final answer
    x = 31.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.