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Finding the Fourth Proportional to 150.45, 225.31 and 102.21

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Solution

The fourth proportional to 150.45, 225.31 and 102.21 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.45 : 225.31 = 102.21 : x
  2. Step 2: Convert to fraction form
    150.45/225.31 = 102.21/x
  3. Step 3: Cross multiply
    150.45x = 225.31 × 102.21
  4. Step 4: Simplify right side
    150.45x = 23,028.94
  5. Step 5: Solve for x
    x = 23,028.94/150.45
  6. Step 6: Final answer
    x = 153.07

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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.