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Finding the Fourth Proportional to 12.25, 16.91 and 11.69

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Solution

The fourth proportional to 12.25, 16.91 and 11.69 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.25 : 16.91 = 11.69 : x
  2. Step 2: Convert to fraction form
    12.25/16.91 = 11.69/x
  3. Step 3: Cross multiply
    12.25x = 16.91 × 11.69
  4. Step 4: Simplify right side
    12.25x = 197.68
  5. Step 5: Solve for x
    x = 197.68/12.25
  6. Step 6: Final answer
    x = 16.14

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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.