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Finding the Fourth Proportional to 33.49, 46.19 and 22.42

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Solution

The fourth proportional to 33.49, 46.19 and 22.42 is: 30.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.49 : 46.19 = 22.42 : x
  2. Step 2: Convert to fraction form
    33.49/46.19 = 22.42/x
  3. Step 3: Cross multiply
    33.49x = 46.19 × 22.42
  4. Step 4: Simplify right side
    33.49x = 1,035.44
  5. Step 5: Solve for x
    x = 1,035.44/33.49
  6. Step 6: Final answer
    x = 30.92

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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.