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Finding the Fourth Proportional to 121.11, 180.23 and 116.79

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Solution

The fourth proportional to 121.11, 180.23 and 116.79 is: 173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.11 : 180.23 = 116.79 : x
  2. Step 2: Convert to fraction form
    121.11/180.23 = 116.79/x
  3. Step 3: Cross multiply
    121.11x = 180.23 × 116.79
  4. Step 4: Simplify right side
    121.11x = 21,049.06
  5. Step 5: Solve for x
    x = 21,049.06/121.11
  6. Step 6: Final answer
    x = 173.80

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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.