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Finding the Fourth Proportional to 24.18, 33.42 and 22.08

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Solution

The fourth proportional to 24.18, 33.42 and 22.08 is: 30.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.18 : 33.42 = 22.08 : x
  2. Step 2: Convert to fraction form
    24.18/33.42 = 22.08/x
  3. Step 3: Cross multiply
    24.18x = 33.42 × 22.08
  4. Step 4: Simplify right side
    24.18x = 737.91
  5. Step 5: Solve for x
    x = 737.91/24.18
  6. Step 6: Final answer
    x = 30.52

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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.