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Finding the Fourth Proportional to 107.97, 161.77 and 77.38

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Solution

The fourth proportional to 107.97, 161.77 and 77.38 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.97 : 161.77 = 77.38 : x
  2. Step 2: Convert to fraction form
    107.97/161.77 = 77.38/x
  3. Step 3: Cross multiply
    107.97x = 161.77 × 77.38
  4. Step 4: Simplify right side
    107.97x = 12,517.76
  5. Step 5: Solve for x
    x = 12,517.76/107.97
  6. Step 6: Final answer
    x = 115.94

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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.