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Finding the Fourth Proportional to 33.24, 49.74 and 22.56

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Solution

The fourth proportional to 33.24, 49.74 and 22.56 is: 33.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.24 : 49.74 = 22.56 : x
  2. Step 2: Convert to fraction form
    33.24/49.74 = 22.56/x
  3. Step 3: Cross multiply
    33.24x = 49.74 × 22.56
  4. Step 4: Simplify right side
    33.24x = 1,122.13
  5. Step 5: Solve for x
    x = 1,122.13/33.24
  6. Step 6: Final answer
    x = 33.76

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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.