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Finding the Fourth Proportional to 12.71, 18.97 and 10.91

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Solution

The fourth proportional to 12.71, 18.97 and 10.91 is: 16.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.71 : 18.97 = 10.91 : x
  2. Step 2: Convert to fraction form
    12.71/18.97 = 10.91/x
  3. Step 3: Cross multiply
    12.71x = 18.97 × 10.91
  4. Step 4: Simplify right side
    12.71x = 206.96
  5. Step 5: Solve for x
    x = 206.96/12.71
  6. Step 6: Final answer
    x = 16.28

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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.