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Finding the Fourth Proportional to 126.67, 173.78 and 123.49

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Solution

The fourth proportional to 126.67, 173.78 and 123.49 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.67 : 173.78 = 123.49 : x
  2. Step 2: Convert to fraction form
    126.67/173.78 = 123.49/x
  3. Step 3: Cross multiply
    126.67x = 173.78 × 123.49
  4. Step 4: Simplify right side
    126.67x = 21,460.09
  5. Step 5: Solve for x
    x = 21,460.09/126.67
  6. Step 6: Final answer
    x = 169.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.