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Finding the Fourth Proportional to 126.12, 173.73 and 105.39

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Solution

The fourth proportional to 126.12, 173.73 and 105.39 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 173.73 = 105.39 : x
  2. Step 2: Convert to fraction form
    126.12/173.73 = 105.39/x
  3. Step 3: Cross multiply
    126.12x = 173.73 × 105.39
  4. Step 4: Simplify right side
    126.12x = 18,309.40
  5. Step 5: Solve for x
    x = 18,309.40/126.12
  6. Step 6: Final answer
    x = 145.17

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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.