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Finding the Fourth Proportional to 115.36, 159 and 80.40

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Solution

The fourth proportional to 115.36, 159 and 80.40 is: 110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.36 : 159 = 80.40 : x
  2. Step 2: Convert to fraction form
    115.36/159 = 80.40/x
  3. Step 3: Cross multiply
    115.36x = 159 × 80.40
  4. Step 4: Simplify right side
    115.36x = 12,783.60
  5. Step 5: Solve for x
    x = 12,783.60/115.36
  6. Step 6: Final answer
    x = 110.81

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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.