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Finding the Fourth Proportional to 33.83, 46.73 and 22.96

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Solution

The fourth proportional to 33.83, 46.73 and 22.96 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.83 : 46.73 = 22.96 : x
  2. Step 2: Convert to fraction form
    33.83/46.73 = 22.96/x
  3. Step 3: Cross multiply
    33.83x = 46.73 × 22.96
  4. Step 4: Simplify right side
    33.83x = 1,072.57
  5. Step 5: Solve for x
    x = 1,072.57/33.83
  6. Step 6: Final answer
    x = 31.71

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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.