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Finding the Fourth Proportional to 33.42, 50.15 and 19.91

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Solution

The fourth proportional to 33.42, 50.15 and 19.91 is: 29.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 50.15 = 19.91 : x
  2. Step 2: Convert to fraction form
    33.42/50.15 = 19.91/x
  3. Step 3: Cross multiply
    33.42x = 50.15 × 19.91
  4. Step 4: Simplify right side
    33.42x = 998.14
  5. Step 5: Solve for x
    x = 998.14/33.42
  6. Step 6: Final answer
    x = 29.87

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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.