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Finding the Fourth Proportional to 115.28, 159.04 and 80.32

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Solution

The fourth proportional to 115.28, 159.04 and 80.32 is: 110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.28 : 159.04 = 80.32 : x
  2. Step 2: Convert to fraction form
    115.28/159.04 = 80.32/x
  3. Step 3: Cross multiply
    115.28x = 159.04 × 80.32
  4. Step 4: Simplify right side
    115.28x = 12,774.09
  5. Step 5: Solve for x
    x = 12,774.09/115.28
  6. Step 6: Final answer
    x = 110.81

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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.