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Finding the Fourth Proportional to 33.72, 46.49 and 31.73

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Solution

The fourth proportional to 33.72, 46.49 and 31.73 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.72 : 46.49 = 31.73 : x
  2. Step 2: Convert to fraction form
    33.72/46.49 = 31.73/x
  3. Step 3: Cross multiply
    33.72x = 46.49 × 31.73
  4. Step 4: Simplify right side
    33.72x = 1,475.13
  5. Step 5: Solve for x
    x = 1,475.13/33.72
  6. Step 6: Final answer
    x = 43.75

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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.