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Finding the Fourth Proportional to 33.42, 46.11 and 20.12

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Solution

The fourth proportional to 33.42, 46.11 and 20.12 is: 27.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 46.11 = 20.12 : x
  2. Step 2: Convert to fraction form
    33.42/46.11 = 20.12/x
  3. Step 3: Cross multiply
    33.42x = 46.11 × 20.12
  4. Step 4: Simplify right side
    33.42x = 927.78
  5. Step 5: Solve for x
    x = 927.78/33.42
  6. Step 6: Final answer
    x = 27.76

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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.