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Finding the Fourth Proportional to 115.50, 159.34 and 80.55

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Solution

The fourth proportional to 115.50, 159.34 and 80.55 is: 111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 159.34 = 80.55 : x
  2. Step 2: Convert to fraction form
    115.50/159.34 = 80.55/x
  3. Step 3: Cross multiply
    115.50x = 159.34 × 80.55
  4. Step 4: Simplify right side
    115.50x = 12,834.84
  5. Step 5: Solve for x
    x = 12,834.84/115.50
  6. Step 6: Final answer
    x = 111.12

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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.