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Finding the Fourth Proportional to 126.50, 173.99 and 110.09

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Solution

The fourth proportional to 126.50, 173.99 and 110.09 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 173.99 = 110.09 : x
  2. Step 2: Convert to fraction form
    126.50/173.99 = 110.09/x
  3. Step 3: Cross multiply
    126.50x = 173.99 × 110.09
  4. Step 4: Simplify right side
    126.50x = 19,153.14
  5. Step 5: Solve for x
    x = 19,153.14/126.50
  6. Step 6: Final answer
    x = 151.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.