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Finding the Fourth Proportional to 69.75, 105.15 and 68.52

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Solution

The fourth proportional to 69.75, 105.15 and 68.52 is: 103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 105.15 = 68.52 : x
  2. Step 2: Convert to fraction form
    69.75/105.15 = 68.52/x
  3. Step 3: Cross multiply
    69.75x = 105.15 × 68.52
  4. Step 4: Simplify right side
    69.75x = 7,204.88
  5. Step 5: Solve for x
    x = 7,204.88/69.75
  6. Step 6: Final answer
    x = 103.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.