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Finding the Fourth Proportional to 33.92, 50.80 and 17.84

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Solution

The fourth proportional to 33.92, 50.80 and 17.84 is: 26.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.92 : 50.80 = 17.84 : x
  2. Step 2: Convert to fraction form
    33.92/50.80 = 17.84/x
  3. Step 3: Cross multiply
    33.92x = 50.80 × 17.84
  4. Step 4: Simplify right side
    33.92x = 906.27
  5. Step 5: Solve for x
    x = 906.27/33.92
  6. Step 6: Final answer
    x = 26.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.