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Finding the Fourth Proportional to 126.96, 174.19 and 120.84

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Solution

The fourth proportional to 126.96, 174.19 and 120.84 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 174.19 = 120.84 : x
  2. Step 2: Convert to fraction form
    126.96/174.19 = 120.84/x
  3. Step 3: Cross multiply
    126.96x = 174.19 × 120.84
  4. Step 4: Simplify right side
    126.96x = 21,049.12
  5. Step 5: Solve for x
    x = 21,049.12/126.96
  6. Step 6: Final answer
    x = 165.79

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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.