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Finding the Fourth Proportional to 109.67, 163.83 and 107.75

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Solution

The fourth proportional to 109.67, 163.83 and 107.75 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 163.83 = 107.75 : x
  2. Step 2: Convert to fraction form
    109.67/163.83 = 107.75/x
  3. Step 3: Cross multiply
    109.67x = 163.83 × 107.75
  4. Step 4: Simplify right side
    109.67x = 17,651.86
  5. Step 5: Solve for x
    x = 17,651.86/109.67
  6. Step 6: Final answer
    x = 160.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.