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Finding the Fourth Proportional to 22.81, 34.24 and 12.13

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Solution

The fourth proportional to 22.81, 34.24 and 12.13 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.81 : 34.24 = 12.13 : x
  2. Step 2: Convert to fraction form
    22.81/34.24 = 12.13/x
  3. Step 3: Cross multiply
    22.81x = 34.24 × 12.13
  4. Step 4: Simplify right side
    22.81x = 415.27
  5. Step 5: Solve for x
    x = 415.27/22.81
  6. Step 6: Final answer
    x = 18.21

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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.