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Finding the Fourth Proportional to 33.54, 50.24 and 22.12

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Solution

The fourth proportional to 33.54, 50.24 and 22.12 is: 33.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.54 : 50.24 = 22.12 : x
  2. Step 2: Convert to fraction form
    33.54/50.24 = 22.12/x
  3. Step 3: Cross multiply
    33.54x = 50.24 × 22.12
  4. Step 4: Simplify right side
    33.54x = 1,111.31
  5. Step 5: Solve for x
    x = 1,111.31/33.54
  6. Step 6: Final answer
    x = 33.13

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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.