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Finding the Fourth Proportional to 106, 159 and 41.92

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Solution

The fourth proportional to 106, 159 and 41.92 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159 = 41.92 : x
  2. Step 2: Convert to fraction form
    106/159 = 41.92/x
  3. Step 3: Cross multiply
    106x = 159 × 41.92
  4. Step 4: Simplify right side
    106x = 6,665.28
  5. Step 5: Solve for x
    x = 6,665.28/106
  6. Step 6: Final answer
    x = 62.88

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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.