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Finding the Fourth Proportional to 12.20, 18.22 and 11.30

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Solution

The fourth proportional to 12.20, 18.22 and 11.30 is: 16.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.20 : 18.22 = 11.30 : x
  2. Step 2: Convert to fraction form
    12.20/18.22 = 11.30/x
  3. Step 3: Cross multiply
    12.20x = 18.22 × 11.30
  4. Step 4: Simplify right side
    12.20x = 205.89
  5. Step 5: Solve for x
    x = 205.89/12.20
  6. Step 6: Final answer
    x = 16.88

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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.