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Finding the Fourth Proportional to 121.88, 182.46 and 118.80

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Solution

The fourth proportional to 121.88, 182.46 and 118.80 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 182.46 = 118.80 : x
  2. Step 2: Convert to fraction form
    121.88/182.46 = 118.80/x
  3. Step 3: Cross multiply
    121.88x = 182.46 × 118.80
  4. Step 4: Simplify right side
    121.88x = 21,676.25
  5. Step 5: Solve for x
    x = 21,676.25/121.88
  6. Step 6: Final answer
    x = 177.85

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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.