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Finding the Fourth Proportional to 121.23, 180.77 and 119.75

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Solution

The fourth proportional to 121.23, 180.77 and 119.75 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.23 : 180.77 = 119.75 : x
  2. Step 2: Convert to fraction form
    121.23/180.77 = 119.75/x
  3. Step 3: Cross multiply
    121.23x = 180.77 × 119.75
  4. Step 4: Simplify right side
    121.23x = 21,645.70
  5. Step 5: Solve for x
    x = 21,645.70/121.23
  6. Step 6: Final answer
    x = 178.55

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