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Finding the Fourth Proportional to 121.40, 182.10 and 119.80

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Solution

The fourth proportional to 121.40, 182.10 and 119.80 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.40 : 182.10 = 119.80 : x
  2. Step 2: Convert to fraction form
    121.40/182.10 = 119.80/x
  3. Step 3: Cross multiply
    121.40x = 182.10 × 119.80
  4. Step 4: Simplify right side
    121.40x = 21,815.58
  5. Step 5: Solve for x
    x = 21,815.58/121.40
  6. Step 6: Final answer
    x = 179.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.