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Finding the Fourth Proportional to 33.73, 50.71 and 31.87

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Solution

The fourth proportional to 33.73, 50.71 and 31.87 is: 47.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.73 : 50.71 = 31.87 : x
  2. Step 2: Convert to fraction form
    33.73/50.71 = 31.87/x
  3. Step 3: Cross multiply
    33.73x = 50.71 × 31.87
  4. Step 4: Simplify right side
    33.73x = 1,615.92
  5. Step 5: Solve for x
    x = 1,615.92/33.73
  6. Step 6: Final answer
    x = 47.91

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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.