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Finding the Fourth Proportional to 105.97, 159.10 and 54.65

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Solution

The fourth proportional to 105.97, 159.10 and 54.65 is: 82.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 159.10 = 54.65 : x
  2. Step 2: Convert to fraction form
    105.97/159.10 = 54.65/x
  3. Step 3: Cross multiply
    105.97x = 159.10 × 54.65
  4. Step 4: Simplify right side
    105.97x = 8,694.82
  5. Step 5: Solve for x
    x = 8,694.82/105.97
  6. Step 6: Final answer
    x = 82.05

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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.