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Finding the Fourth Proportional to 150.96, 226.62 and 82.62

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Solution

The fourth proportional to 150.96, 226.62 and 82.62 is: 124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 226.62 = 82.62 : x
  2. Step 2: Convert to fraction form
    150.96/226.62 = 82.62/x
  3. Step 3: Cross multiply
    150.96x = 226.62 × 82.62
  4. Step 4: Simplify right side
    150.96x = 18,723.58
  5. Step 5: Solve for x
    x = 18,723.58/150.96
  6. Step 6: Final answer
    x = 124.03

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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.