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Finding the Fourth Proportional to 105.68, 159.11 and 83.15

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Solution

The fourth proportional to 105.68, 159.11 and 83.15 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 159.11 = 83.15 : x
  2. Step 2: Convert to fraction form
    105.68/159.11 = 83.15/x
  3. Step 3: Cross multiply
    105.68x = 159.11 × 83.15
  4. Step 4: Simplify right side
    105.68x = 13,230.00
  5. Step 5: Solve for x
    x = 13,230.00/105.68
  6. Step 6: Final answer
    x = 125.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.