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Finding the Fourth Proportional to 33.12, 49.74 and 24.12

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Solution

The fourth proportional to 33.12, 49.74 and 24.12 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 49.74 = 24.12 : x
  2. Step 2: Convert to fraction form
    33.12/49.74 = 24.12/x
  3. Step 3: Cross multiply
    33.12x = 49.74 × 24.12
  4. Step 4: Simplify right side
    33.12x = 1,199.73
  5. Step 5: Solve for x
    x = 1,199.73/33.12
  6. Step 6: Final answer
    x = 36.22

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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.