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Finding the Fourth Proportional to 126.71, 175.66 and 120.12

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Solution

The fourth proportional to 126.71, 175.66 and 120.12 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.71 : 175.66 = 120.12 : x
  2. Step 2: Convert to fraction form
    126.71/175.66 = 120.12/x
  3. Step 3: Cross multiply
    126.71x = 175.66 × 120.12
  4. Step 4: Simplify right side
    126.71x = 21,100.98
  5. Step 5: Solve for x
    x = 21,100.98/126.71
  6. Step 6: Final answer
    x = 166.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.