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Finding the Fourth Proportional to 33.67, 50.57 and 15.65

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Solution

The fourth proportional to 33.67, 50.57 and 15.65 is: 23.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.67 : 50.57 = 15.65 : x
  2. Step 2: Convert to fraction form
    33.67/50.57 = 15.65/x
  3. Step 3: Cross multiply
    33.67x = 50.57 × 15.65
  4. Step 4: Simplify right side
    33.67x = 791.42
  5. Step 5: Solve for x
    x = 791.42/33.67
  6. Step 6: Final answer
    x = 23.51

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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.