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Finding the Fourth Proportional to 16.31, 22.46 and 12.41

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Solution

The fourth proportional to 16.31, 22.46 and 12.41 is: 17.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 22.46 = 12.41 : x
  2. Step 2: Convert to fraction form
    16.31/22.46 = 12.41/x
  3. Step 3: Cross multiply
    16.31x = 22.46 × 12.41
  4. Step 4: Simplify right side
    16.31x = 278.73
  5. Step 5: Solve for x
    x = 278.73/16.31
  6. Step 6: Final answer
    x = 17.09

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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.