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Finding the Fourth Proportional to 33.81, 50.78 and 22.42

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Solution

The fourth proportional to 33.81, 50.78 and 22.42 is: 33.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.81 : 50.78 = 22.42 : x
  2. Step 2: Convert to fraction form
    33.81/50.78 = 22.42/x
  3. Step 3: Cross multiply
    33.81x = 50.78 × 22.42
  4. Step 4: Simplify right side
    33.81x = 1,138.48
  5. Step 5: Solve for x
    x = 1,138.48/33.81
  6. Step 6: Final answer
    x = 33.68

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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.