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Finding the Fourth Proportional to 69.24, 103.82 and 51.18

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Solution

The fourth proportional to 69.24, 103.82 and 51.18 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 103.82 = 51.18 : x
  2. Step 2: Convert to fraction form
    69.24/103.82 = 51.18/x
  3. Step 3: Cross multiply
    69.24x = 103.82 × 51.18
  4. Step 4: Simplify right side
    69.24x = 5,313.25
  5. Step 5: Solve for x
    x = 5,313.25/69.24
  6. Step 6: Final answer
    x = 76.74

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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.