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Finding the Fourth Proportional to 367.20, 550.66 and 107.12

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Solution

The fourth proportional to 367.20, 550.66 and 107.12 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.20 : 550.66 = 107.12 : x
  2. Step 2: Convert to fraction form
    367.20/550.66 = 107.12/x
  3. Step 3: Cross multiply
    367.20x = 550.66 × 107.12
  4. Step 4: Simplify right side
    367.20x = 58,983.95
  5. Step 5: Solve for x
    x = 58,983.95/367.20
  6. Step 6: Final answer
    x = 160.63

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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.