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Finding the Fourth Proportional to 121.37, 166.86 and 108.12

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Solution

The fourth proportional to 121.37, 166.86 and 108.12 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.37 : 166.86 = 108.12 : x
  2. Step 2: Convert to fraction form
    121.37/166.86 = 108.12/x
  3. Step 3: Cross multiply
    121.37x = 166.86 × 108.12
  4. Step 4: Simplify right side
    121.37x = 18,040.90
  5. Step 5: Solve for x
    x = 18,040.90/121.37
  6. Step 6: Final answer
    x = 148.65

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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.