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Finding the Fourth Proportional to 80.09, 120.05 and 33.84

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Solution

The fourth proportional to 80.09, 120.05 and 33.84 is: 50.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 120.05 = 33.84 : x
  2. Step 2: Convert to fraction form
    80.09/120.05 = 33.84/x
  3. Step 3: Cross multiply
    80.09x = 120.05 × 33.84
  4. Step 4: Simplify right side
    80.09x = 4,063.09
  5. Step 5: Solve for x
    x = 4,063.09/80.09
  6. Step 6: Final answer
    x = 50.73

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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.