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Finding the Fourth Proportional to 33.45, 50.11 and 23.27

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Solution

The fourth proportional to 33.45, 50.11 and 23.27 is: 34.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.45 : 50.11 = 23.27 : x
  2. Step 2: Convert to fraction form
    33.45/50.11 = 23.27/x
  3. Step 3: Cross multiply
    33.45x = 50.11 × 23.27
  4. Step 4: Simplify right side
    33.45x = 1,165.75
  5. Step 5: Solve for x
    x = 1,165.75/33.45
  6. Step 6: Final answer
    x = 34.85

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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.