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Finding the Fourth Proportional to 24.65, 36.86 and 20.89

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Solution

The fourth proportional to 24.65, 36.86 and 20.89 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 36.86 = 20.89 : x
  2. Step 2: Convert to fraction form
    24.65/36.86 = 20.89/x
  3. Step 3: Cross multiply
    24.65x = 36.86 × 20.89
  4. Step 4: Simplify right side
    24.65x = 769.90
  5. Step 5: Solve for x
    x = 769.90/24.65
  6. Step 6: Final answer
    x = 31.23

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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.