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Finding the Fourth Proportional to 115.92, 159.57 and 107.19

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Solution

The fourth proportional to 115.92, 159.57 and 107.19 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 159.57 = 107.19 : x
  2. Step 2: Convert to fraction form
    115.92/159.57 = 107.19/x
  3. Step 3: Cross multiply
    115.92x = 159.57 × 107.19
  4. Step 4: Simplify right side
    115.92x = 17,104.31
  5. Step 5: Solve for x
    x = 17,104.31/115.92
  6. Step 6: Final answer
    x = 147.55

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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.