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Finding the Fourth Proportional to 33.97, 46.89 and 31.81

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Solution

The fourth proportional to 33.97, 46.89 and 31.81 is: 43.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.97 : 46.89 = 31.81 : x
  2. Step 2: Convert to fraction form
    33.97/46.89 = 31.81/x
  3. Step 3: Cross multiply
    33.97x = 46.89 × 31.81
  4. Step 4: Simplify right side
    33.97x = 1,491.57
  5. Step 5: Solve for x
    x = 1,491.57/33.97
  6. Step 6: Final answer
    x = 43.91

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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.