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Finding the Fourth Proportional to 12.71, 17.49 and 11.49

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Solution

The fourth proportional to 12.71, 17.49 and 11.49 is: 15.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.71 : 17.49 = 11.49 : x
  2. Step 2: Convert to fraction form
    12.71/17.49 = 11.49/x
  3. Step 3: Cross multiply
    12.71x = 17.49 × 11.49
  4. Step 4: Simplify right side
    12.71x = 200.96
  5. Step 5: Solve for x
    x = 200.96/12.71
  6. Step 6: Final answer
    x = 15.82

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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.