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Finding the Fourth Proportional to 115.93, 159.87 and 98.43

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Solution

The fourth proportional to 115.93, 159.87 and 98.43 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.93 : 159.87 = 98.43 : x
  2. Step 2: Convert to fraction form
    115.93/159.87 = 98.43/x
  3. Step 3: Cross multiply
    115.93x = 159.87 × 98.43
  4. Step 4: Simplify right side
    115.93x = 15,735.20
  5. Step 5: Solve for x
    x = 15,735.20/115.93
  6. Step 6: Final answer
    x = 135.73

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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.