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Finding the Fourth Proportional to 12.23, 16.86 and 11.55

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Solution

The fourth proportional to 12.23, 16.86 and 11.55 is: 15.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 16.86 = 11.55 : x
  2. Step 2: Convert to fraction form
    12.23/16.86 = 11.55/x
  3. Step 3: Cross multiply
    12.23x = 16.86 × 11.55
  4. Step 4: Simplify right side
    12.23x = 194.73
  5. Step 5: Solve for x
    x = 194.73/12.23
  6. Step 6: Final answer
    x = 15.92

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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.