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Finding the Fourth Proportional to 126.05, 173.75 and 105.39

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Solution

The fourth proportional to 126.05, 173.75 and 105.39 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.05 : 173.75 = 105.39 : x
  2. Step 2: Convert to fraction form
    126.05/173.75 = 105.39/x
  3. Step 3: Cross multiply
    126.05x = 173.75 × 105.39
  4. Step 4: Simplify right side
    126.05x = 18,310.99
  5. Step 5: Solve for x
    x = 18,310.99/126.05
  6. Step 6: Final answer
    x = 145.27

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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.