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Finding the Fourth Proportional to 75.62, 104.25 and 69.38

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Solution

The fourth proportional to 75.62, 104.25 and 69.38 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 104.25 = 69.38 : x
  2. Step 2: Convert to fraction form
    75.62/104.25 = 69.38/x
  3. Step 3: Cross multiply
    75.62x = 104.25 × 69.38
  4. Step 4: Simplify right side
    75.62x = 7,232.87
  5. Step 5: Solve for x
    x = 7,232.87/75.62
  6. Step 6: Final answer
    x = 95.65

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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.