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Finding the Fourth Proportional to 24.74, 34.31 and 24.56

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Solution

The fourth proportional to 24.74, 34.31 and 24.56 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.74 : 34.31 = 24.56 : x
  2. Step 2: Convert to fraction form
    24.74/34.31 = 24.56/x
  3. Step 3: Cross multiply
    24.74x = 34.31 × 24.56
  4. Step 4: Simplify right side
    24.74x = 842.65
  5. Step 5: Solve for x
    x = 842.65/24.74
  6. Step 6: Final answer
    x = 34.06

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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.