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Finding the Fourth Proportional to 33.82, 50.22 and 32.20

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Solution

The fourth proportional to 33.82, 50.22 and 32.20 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 50.22 = 32.20 : x
  2. Step 2: Convert to fraction form
    33.82/50.22 = 32.20/x
  3. Step 3: Cross multiply
    33.82x = 50.22 × 32.20
  4. Step 4: Simplify right side
    33.82x = 1,616.96
  5. Step 5: Solve for x
    x = 1,616.96/33.82
  6. Step 6: Final answer
    x = 47.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.