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Finding the Fourth Proportional to 150.96, 226.09 and 107.53

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Solution

The fourth proportional to 150.96, 226.09 and 107.53 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 226.09 = 107.53 : x
  2. Step 2: Convert to fraction form
    150.96/226.09 = 107.53/x
  3. Step 3: Cross multiply
    150.96x = 226.09 × 107.53
  4. Step 4: Simplify right side
    150.96x = 24,311.03
  5. Step 5: Solve for x
    x = 24,311.03/150.96
  6. Step 6: Final answer
    x = 161.04

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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.