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Finding the Fourth Proportional to 22.38, 33.59 and 12.23

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Solution

The fourth proportional to 22.38, 33.59 and 12.23 is: 18.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.38 : 33.59 = 12.23 : x
  2. Step 2: Convert to fraction form
    22.38/33.59 = 12.23/x
  3. Step 3: Cross multiply
    22.38x = 33.59 × 12.23
  4. Step 4: Simplify right side
    22.38x = 410.83
  5. Step 5: Solve for x
    x = 410.83/22.38
  6. Step 6: Final answer
    x = 18.36

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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.