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Finding the Fourth Proportional to 24.61, 36.71 and 20.96

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Solution

The fourth proportional to 24.61, 36.71 and 20.96 is: 31.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.61 : 36.71 = 20.96 : x
  2. Step 2: Convert to fraction form
    24.61/36.71 = 20.96/x
  3. Step 3: Cross multiply
    24.61x = 36.71 × 20.96
  4. Step 4: Simplify right side
    24.61x = 769.44
  5. Step 5: Solve for x
    x = 769.44/24.61
  6. Step 6: Final answer
    x = 31.27

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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.