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Finding the Fourth Proportional to 24.92, 34.20 and 23.28

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Solution

The fourth proportional to 24.92, 34.20 and 23.28 is: 31.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.92 : 34.20 = 23.28 : x
  2. Step 2: Convert to fraction form
    24.92/34.20 = 23.28/x
  3. Step 3: Cross multiply
    24.92x = 34.20 × 23.28
  4. Step 4: Simplify right side
    24.92x = 796.18
  5. Step 5: Solve for x
    x = 796.18/24.92
  6. Step 6: Final answer
    x = 31.95

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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.