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Finding the Fourth Proportional to 121.16, 166.49 and 119.56

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Solution

The fourth proportional to 121.16, 166.49 and 119.56 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 166.49 = 119.56 : x
  2. Step 2: Convert to fraction form
    121.16/166.49 = 119.56/x
  3. Step 3: Cross multiply
    121.16x = 166.49 × 119.56
  4. Step 4: Simplify right side
    121.16x = 19,905.54
  5. Step 5: Solve for x
    x = 19,905.54/121.16
  6. Step 6: Final answer
    x = 164.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.