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Finding the Fourth Proportional to 69.68, 104.32 and 53.68

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Solution

The fourth proportional to 69.68, 104.32 and 53.68 is: 80.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 104.32 = 53.68 : x
  2. Step 2: Convert to fraction form
    69.68/104.32 = 53.68/x
  3. Step 3: Cross multiply
    69.68x = 104.32 × 53.68
  4. Step 4: Simplify right side
    69.68x = 5,599.90
  5. Step 5: Solve for x
    x = 5,599.90/69.68
  6. Step 6: Final answer
    x = 80.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.