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Finding the Fourth Proportional to 33.44, 46.17 and 22.96

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Solution

The fourth proportional to 33.44, 46.17 and 22.96 is: 31.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.44 : 46.17 = 22.96 : x
  2. Step 2: Convert to fraction form
    33.44/46.17 = 22.96/x
  3. Step 3: Cross multiply
    33.44x = 46.17 × 22.96
  4. Step 4: Simplify right side
    33.44x = 1,059.95
  5. Step 5: Solve for x
    x = 1,059.95/33.44
  6. Step 6: Final answer
    x = 31.69

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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.