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Finding the Fourth Proportional to 24.71, 34.25 and 23.65

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Solution

The fourth proportional to 24.71, 34.25 and 23.65 is: 32.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.71 : 34.25 = 23.65 : x
  2. Step 2: Convert to fraction form
    24.71/34.25 = 23.65/x
  3. Step 3: Cross multiply
    24.71x = 34.25 × 23.65
  4. Step 4: Simplify right side
    24.71x = 809.81
  5. Step 5: Solve for x
    x = 809.81/24.71
  6. Step 6: Final answer
    x = 32.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.