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Finding the Fourth Proportional to 106, 159 and 33.84

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Solution

The fourth proportional to 106, 159 and 33.84 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159 = 33.84 : x
  2. Step 2: Convert to fraction form
    106/159 = 33.84/x
  3. Step 3: Cross multiply
    106x = 159 × 33.84
  4. Step 4: Simplify right side
    106x = 5,380.56
  5. Step 5: Solve for x
    x = 5,380.56/106
  6. Step 6: Final answer
    x = 50.76

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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.