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Finding the Fourth Proportional to 150.73, 225.89 and 105.17

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Solution

The fourth proportional to 150.73, 225.89 and 105.17 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.73 : 225.89 = 105.17 : x
  2. Step 2: Convert to fraction form
    150.73/225.89 = 105.17/x
  3. Step 3: Cross multiply
    150.73x = 225.89 × 105.17
  4. Step 4: Simplify right side
    150.73x = 23,756.85
  5. Step 5: Solve for x
    x = 23,756.85/150.73
  6. Step 6: Final answer
    x = 157.61

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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.