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Finding the Fourth Proportional to 33.64, 46.13 and 31.96

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Solution

The fourth proportional to 33.64, 46.13 and 31.96 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 46.13 = 31.96 : x
  2. Step 2: Convert to fraction form
    33.64/46.13 = 31.96/x
  3. Step 3: Cross multiply
    33.64x = 46.13 × 31.96
  4. Step 4: Simplify right side
    33.64x = 1,474.31
  5. Step 5: Solve for x
    x = 1,474.31/33.64
  6. Step 6: Final answer
    x = 43.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.