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Finding the Fourth Proportional to 24.91, 34.21 and 22.48

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Solution

The fourth proportional to 24.91, 34.21 and 22.48 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.91 : 34.21 = 22.48 : x
  2. Step 2: Convert to fraction form
    24.91/34.21 = 22.48/x
  3. Step 3: Cross multiply
    24.91x = 34.21 × 22.48
  4. Step 4: Simplify right side
    24.91x = 769.04
  5. Step 5: Solve for x
    x = 769.04/24.91
  6. Step 6: Final answer
    x = 30.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.