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Finding the Fourth Proportional to 33.89, 46.81 and 22.96

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Solution

The fourth proportional to 33.89, 46.81 and 22.96 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.89 : 46.81 = 22.96 : x
  2. Step 2: Convert to fraction form
    33.89/46.81 = 22.96/x
  3. Step 3: Cross multiply
    33.89x = 46.81 × 22.96
  4. Step 4: Simplify right side
    33.89x = 1,074.48
  5. Step 5: Solve for x
    x = 1,074.48/33.89
  6. Step 6: Final answer
    x = 31.70

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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.