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Finding the Fourth Proportional to 86.87, 119.22 and 78.67

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Solution

The fourth proportional to 86.87, 119.22 and 78.67 is: 107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.87 : 119.22 = 78.67 : x
  2. Step 2: Convert to fraction form
    86.87/119.22 = 78.67/x
  3. Step 3: Cross multiply
    86.87x = 119.22 × 78.67
  4. Step 4: Simplify right side
    86.87x = 9,379.33
  5. Step 5: Solve for x
    x = 9,379.33/86.87
  6. Step 6: Final answer
    x = 107.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.