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Finding the Fourth Proportional to 33.67, 46.42 and 27.97

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Solution

The fourth proportional to 33.67, 46.42 and 27.97 is: 38.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.67 : 46.42 = 27.97 : x
  2. Step 2: Convert to fraction form
    33.67/46.42 = 27.97/x
  3. Step 3: Cross multiply
    33.67x = 46.42 × 27.97
  4. Step 4: Simplify right side
    33.67x = 1,298.37
  5. Step 5: Solve for x
    x = 1,298.37/33.67
  6. Step 6: Final answer
    x = 38.56

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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.