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Finding the Fourth Proportional to 150.96, 226.34 and 102.21

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Solution

The fourth proportional to 150.96, 226.34 and 102.21 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 226.34 = 102.21 : x
  2. Step 2: Convert to fraction form
    150.96/226.34 = 102.21/x
  3. Step 3: Cross multiply
    150.96x = 226.34 × 102.21
  4. Step 4: Simplify right side
    150.96x = 23,135.08
  5. Step 5: Solve for x
    x = 23,135.08/150.96
  6. Step 6: Final answer
    x = 153.25

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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.