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Finding the Fourth Proportional to 85.25, 117.62 and 68.65

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Solution

The fourth proportional to 85.25, 117.62 and 68.65 is: 94.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.25 : 117.62 = 68.65 : x
  2. Step 2: Convert to fraction form
    85.25/117.62 = 68.65/x
  3. Step 3: Cross multiply
    85.25x = 117.62 × 68.65
  4. Step 4: Simplify right side
    85.25x = 8,074.23
  5. Step 5: Solve for x
    x = 8,074.23/85.25
  6. Step 6: Final answer
    x = 94.71

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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.