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Finding the Fourth Proportional to 69.02, 103.49 and 34.73

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Solution

The fourth proportional to 69.02, 103.49 and 34.73 is: 52.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 103.49 = 34.73 : x
  2. Step 2: Convert to fraction form
    69.02/103.49 = 34.73/x
  3. Step 3: Cross multiply
    69.02x = 103.49 × 34.73
  4. Step 4: Simplify right side
    69.02x = 3,593.52
  5. Step 5: Solve for x
    x = 3,593.52/69.02
  6. Step 6: Final answer
    x = 52.07

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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.