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Finding the Fourth Proportional to 126.72, 190.28 and 105.26

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Solution

The fourth proportional to 126.72, 190.28 and 105.26 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 190.28 = 105.26 : x
  2. Step 2: Convert to fraction form
    126.72/190.28 = 105.26/x
  3. Step 3: Cross multiply
    126.72x = 190.28 × 105.26
  4. Step 4: Simplify right side
    126.72x = 20,028.18
  5. Step 5: Solve for x
    x = 20,028.18/126.72
  6. Step 6: Final answer
    x = 158.05

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