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Finding the Fourth Proportional to 115.39, 159.27 and 78.59

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Solution

The fourth proportional to 115.39, 159.27 and 78.59 is: 108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.39 : 159.27 = 78.59 : x
  2. Step 2: Convert to fraction form
    115.39/159.27 = 78.59/x
  3. Step 3: Cross multiply
    115.39x = 159.27 × 78.59
  4. Step 4: Simplify right side
    115.39x = 12,517.03
  5. Step 5: Solve for x
    x = 12,517.03/115.39
  6. Step 6: Final answer
    x = 108.48

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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.