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Finding the Fourth Proportional to 13.97, 19.25 and 11.91

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Solution

The fourth proportional to 13.97, 19.25 and 11.91 is: 16.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 19.25 = 11.91 : x
  2. Step 2: Convert to fraction form
    13.97/19.25 = 11.91/x
  3. Step 3: Cross multiply
    13.97x = 19.25 × 11.91
  4. Step 4: Simplify right side
    13.97x = 229.21
  5. Step 5: Solve for x
    x = 229.21/13.97
  6. Step 6: Final answer
    x = 16.41

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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.