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Finding the Fourth Proportional to 85.97, 118.37 and 69.65

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Solution

The fourth proportional to 85.97, 118.37 and 69.65 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.97 : 118.37 = 69.65 : x
  2. Step 2: Convert to fraction form
    85.97/118.37 = 69.65/x
  3. Step 3: Cross multiply
    85.97x = 118.37 × 69.65
  4. Step 4: Simplify right side
    85.97x = 8,244.12
  5. Step 5: Solve for x
    x = 8,244.12/85.97
  6. Step 6: Final answer
    x = 95.90

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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.