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Finding the Fourth Proportional to 69.72, 96.15 and 67.09

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Solution

The fourth proportional to 69.72, 96.15 and 67.09 is: 92.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.72 : 96.15 = 67.09 : x
  2. Step 2: Convert to fraction form
    69.72/96.15 = 67.09/x
  3. Step 3: Cross multiply
    69.72x = 96.15 × 67.09
  4. Step 4: Simplify right side
    69.72x = 6,450.70
  5. Step 5: Solve for x
    x = 6,450.70/69.72
  6. Step 6: Final answer
    x = 92.52

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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.