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Finding the Fourth Proportional to 115.49, 159 and 100.15

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Solution

The fourth proportional to 115.49, 159 and 100.15 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.49 : 159 = 100.15 : x
  2. Step 2: Convert to fraction form
    115.49/159 = 100.15/x
  3. Step 3: Cross multiply
    115.49x = 159 × 100.15
  4. Step 4: Simplify right side
    115.49x = 15,923.85
  5. Step 5: Solve for x
    x = 15,923.85/115.49
  6. Step 6: Final answer
    x = 137.88

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