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Finding the Fourth Proportional to 12.24, 16.86 and 11.14

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Solution

The fourth proportional to 12.24, 16.86 and 11.14 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.24 : 16.86 = 11.14 : x
  2. Step 2: Convert to fraction form
    12.24/16.86 = 11.14/x
  3. Step 3: Cross multiply
    12.24x = 16.86 × 11.14
  4. Step 4: Simplify right side
    12.24x = 187.82
  5. Step 5: Solve for x
    x = 187.82/12.24
  6. Step 6: Final answer
    x = 15.34

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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.