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Finding the Fourth Proportional to 121.85, 166.94 and 120.33

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Solution

The fourth proportional to 121.85, 166.94 and 120.33 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.85 : 166.94 = 120.33 : x
  2. Step 2: Convert to fraction form
    121.85/166.94 = 120.33/x
  3. Step 3: Cross multiply
    121.85x = 166.94 × 120.33
  4. Step 4: Simplify right side
    121.85x = 20,087.89
  5. Step 5: Solve for x
    x = 20,087.89/121.85
  6. Step 6: Final answer
    x = 164.86

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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.