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Finding the Fourth Proportional to 24.25, 33.41 and 22.18

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Solution

The fourth proportional to 24.25, 33.41 and 22.18 is: 30.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 33.41 = 22.18 : x
  2. Step 2: Convert to fraction form
    24.25/33.41 = 22.18/x
  3. Step 3: Cross multiply
    24.25x = 33.41 × 22.18
  4. Step 4: Simplify right side
    24.25x = 740.87
  5. Step 5: Solve for x
    x = 740.87/24.25
  6. Step 6: Final answer
    x = 30.56

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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.