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Finding the Fourth Proportional to 121.32, 182.77 and 119.89

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Solution

The fourth proportional to 121.32, 182.77 and 119.89 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 182.77 = 119.89 : x
  2. Step 2: Convert to fraction form
    121.32/182.77 = 119.89/x
  3. Step 3: Cross multiply
    121.32x = 182.77 × 119.89
  4. Step 4: Simplify right side
    121.32x = 21,912.30
  5. Step 5: Solve for x
    x = 21,912.30/121.32
  6. Step 6: Final answer
    x = 180.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.