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Finding the Fourth Proportional to 126.94, 190.15 and 105.22

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Solution

The fourth proportional to 126.94, 190.15 and 105.22 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 190.15 = 105.22 : x
  2. Step 2: Convert to fraction form
    126.94/190.15 = 105.22/x
  3. Step 3: Cross multiply
    126.94x = 190.15 × 105.22
  4. Step 4: Simplify right side
    126.94x = 20,008.09
  5. Step 5: Solve for x
    x = 20,008.09/126.94
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.