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Finding the Fourth Proportional to 70.62, 96.92 and 68.78

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Solution

The fourth proportional to 70.62, 96.92 and 68.78 is: 94.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.62 : 96.92 = 68.78 : x
  2. Step 2: Convert to fraction form
    70.62/96.92 = 68.78/x
  3. Step 3: Cross multiply
    70.62x = 96.92 × 68.78
  4. Step 4: Simplify right side
    70.62x = 6,665.33
  5. Step 5: Solve for x
    x = 6,665.33/70.62
  6. Step 6: Final answer
    x = 94.38

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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.