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Finding the Fourth Proportional to 33.26, 49.84 and 24.22

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Solution

The fourth proportional to 33.26, 49.84 and 24.22 is: 36.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.26 : 49.84 = 24.22 : x
  2. Step 2: Convert to fraction form
    33.26/49.84 = 24.22/x
  3. Step 3: Cross multiply
    33.26x = 49.84 × 24.22
  4. Step 4: Simplify right side
    33.26x = 1,207.12
  5. Step 5: Solve for x
    x = 1,207.12/33.26
  6. Step 6: Final answer
    x = 36.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.