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Finding the Fourth Proportional to 24.31, 33.52 and 16.52

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Solution

The fourth proportional to 24.31, 33.52 and 16.52 is: 22.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 33.52 = 16.52 : x
  2. Step 2: Convert to fraction form
    24.31/33.52 = 16.52/x
  3. Step 3: Cross multiply
    24.31x = 33.52 × 16.52
  4. Step 4: Simplify right side
    24.31x = 553.75
  5. Step 5: Solve for x
    x = 553.75/24.31
  6. Step 6: Final answer
    x = 22.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.