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Finding the Fourth Proportional to 121.60, 167.77 and 77.96

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Solution

The fourth proportional to 121.60, 167.77 and 77.96 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.77 = 77.96 : x
  2. Step 2: Convert to fraction form
    121.60/167.77 = 77.96/x
  3. Step 3: Cross multiply
    121.60x = 167.77 × 77.96
  4. Step 4: Simplify right side
    121.60x = 13,079.35
  5. Step 5: Solve for x
    x = 13,079.35/121.60
  6. Step 6: Final answer
    x = 107.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.