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Finding the Fourth Proportional to 121.72, 166.73 and 120.16

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Solution

The fourth proportional to 121.72, 166.73 and 120.16 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.72 : 166.73 = 120.16 : x
  2. Step 2: Convert to fraction form
    121.72/166.73 = 120.16/x
  3. Step 3: Cross multiply
    121.72x = 166.73 × 120.16
  4. Step 4: Simplify right side
    121.72x = 20,034.28
  5. Step 5: Solve for x
    x = 20,034.28/121.72
  6. Step 6: Final answer
    x = 164.59

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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.