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Finding the Fourth Proportional to 115.43, 159.06 and 87.68

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Solution

The fourth proportional to 115.43, 159.06 and 87.68 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.43 : 159.06 = 87.68 : x
  2. Step 2: Convert to fraction form
    115.43/159.06 = 87.68/x
  3. Step 3: Cross multiply
    115.43x = 159.06 × 87.68
  4. Step 4: Simplify right side
    115.43x = 13,947.11
  5. Step 5: Solve for x
    x = 13,947.11/115.43
  6. Step 6: Final answer
    x = 120.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.