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Finding the Fourth Proportional to 16.31, 24.36 and 13.61

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Solution

The fourth proportional to 16.31, 24.36 and 13.61 is: 20.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 24.36 = 13.61 : x
  2. Step 2: Convert to fraction form
    16.31/24.36 = 13.61/x
  3. Step 3: Cross multiply
    16.31x = 24.36 × 13.61
  4. Step 4: Simplify right side
    16.31x = 331.42
  5. Step 5: Solve for x
    x = 331.42/16.31
  6. Step 6: Final answer
    x = 20.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.