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Finding the Fourth Proportional to 121.75, 168.09 and 94.07

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Solution

The fourth proportional to 121.75, 168.09 and 94.07 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 168.09 = 94.07 : x
  2. Step 2: Convert to fraction form
    121.75/168.09 = 94.07/x
  3. Step 3: Cross multiply
    121.75x = 168.09 × 94.07
  4. Step 4: Simplify right side
    121.75x = 15,812.23
  5. Step 5: Solve for x
    x = 15,812.23/121.75
  6. Step 6: Final answer
    x = 129.87

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Why These Related Problems?

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