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Finding the Fourth Proportional to 20.81, 31.19 and 12.24

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Solution

The fourth proportional to 20.81, 31.19 and 12.24 is: 18.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.81 : 31.19 = 12.24 : x
  2. Step 2: Convert to fraction form
    20.81/31.19 = 12.24/x
  3. Step 3: Cross multiply
    20.81x = 31.19 × 12.24
  4. Step 4: Simplify right side
    20.81x = 381.70
  5. Step 5: Solve for x
    x = 381.70/20.81
  6. Step 6: Final answer
    x = 18.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.