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Finding the Fourth Proportional to 33.22, 45.85 and 24.49

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Solution

The fourth proportional to 33.22, 45.85 and 24.49 is: 33.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 45.85 = 24.49 : x
  2. Step 2: Convert to fraction form
    33.22/45.85 = 24.49/x
  3. Step 3: Cross multiply
    33.22x = 45.85 × 24.49
  4. Step 4: Simplify right side
    33.22x = 1,122.87
  5. Step 5: Solve for x
    x = 1,122.87/33.22
  6. Step 6: Final answer
    x = 33.80

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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.