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Finding the Fourth Proportional to 113.80, 170.79 and 77.11

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Solution

The fourth proportional to 113.80, 170.79 and 77.11 is: 115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 170.79 = 77.11 : x
  2. Step 2: Convert to fraction form
    113.80/170.79 = 77.11/x
  3. Step 3: Cross multiply
    113.80x = 170.79 × 77.11
  4. Step 4: Simplify right side
    113.80x = 13,169.62
  5. Step 5: Solve for x
    x = 13,169.62/113.80
  6. Step 6: Final answer
    x = 115.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.