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Finding the Fourth Proportional to 105.67, 158.48 and 36.26

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Solution

The fourth proportional to 105.67, 158.48 and 36.26 is: 54.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 158.48 = 36.26 : x
  2. Step 2: Convert to fraction form
    105.67/158.48 = 36.26/x
  3. Step 3: Cross multiply
    105.67x = 158.48 × 36.26
  4. Step 4: Simplify right side
    105.67x = 5,745.83
  5. Step 5: Solve for x
    x = 5,745.83/105.67
  6. Step 6: Final answer
    x = 54.38

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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.