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Finding the Fourth Proportional to 121.73, 168.09 and 121.46

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Solution

The fourth proportional to 121.73, 168.09 and 121.46 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.73 : 168.09 = 121.46 : x
  2. Step 2: Convert to fraction form
    121.73/168.09 = 121.46/x
  3. Step 3: Cross multiply
    121.73x = 168.09 × 121.46
  4. Step 4: Simplify right side
    121.73x = 20,416.21
  5. Step 5: Solve for x
    x = 20,416.21/121.73
  6. Step 6: Final answer
    x = 167.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.