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Finding the Fourth Proportional to 86.68, 118.85 and 85.15

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Solution

The fourth proportional to 86.68, 118.85 and 85.15 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 118.85 = 85.15 : x
  2. Step 2: Convert to fraction form
    86.68/118.85 = 85.15/x
  3. Step 3: Cross multiply
    86.68x = 118.85 × 85.15
  4. Step 4: Simplify right side
    86.68x = 10,119.80
  5. Step 5: Solve for x
    x = 10,119.80/86.68
  6. Step 6: Final answer
    x = 116.75

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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.