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Finding the Fourth Proportional to 115.16, 159.86 and 107.96

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Solution

The fourth proportional to 115.16, 159.86 and 107.96 is: 149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.16 : 159.86 = 107.96 : x
  2. Step 2: Convert to fraction form
    115.16/159.86 = 107.96/x
  3. Step 3: Cross multiply
    115.16x = 159.86 × 107.96
  4. Step 4: Simplify right side
    115.16x = 17,258.49
  5. Step 5: Solve for x
    x = 17,258.49/115.16
  6. Step 6: Final answer
    x = 149.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.