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Finding the Fourth Proportional to 69.69, 105.05 and 68.64

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Solution

The fourth proportional to 69.69, 105.05 and 68.64 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.69 : 105.05 = 68.64 : x
  2. Step 2: Convert to fraction form
    69.69/105.05 = 68.64/x
  3. Step 3: Cross multiply
    69.69x = 105.05 × 68.64
  4. Step 4: Simplify right side
    69.69x = 7,209.94
  5. Step 5: Solve for x
    x = 7,209.94/69.69
  6. Step 6: Final answer
    x = 103.46

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