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Finding the Fourth Proportional to 80.78, 111.38 and 69.75

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Solution

The fourth proportional to 80.78, 111.38 and 69.75 is: 96.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.78 : 111.38 = 69.75 : x
  2. Step 2: Convert to fraction form
    80.78/111.38 = 69.75/x
  3. Step 3: Cross multiply
    80.78x = 111.38 × 69.75
  4. Step 4: Simplify right side
    80.78x = 7,768.93
  5. Step 5: Solve for x
    x = 7,768.93/80.78
  6. Step 6: Final answer
    x = 96.17

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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.