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Finding the Fourth Proportional to 150.09, 225.48 and 81.64

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Solution

The fourth proportional to 150.09, 225.48 and 81.64 is: 122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 225.48 = 81.64 : x
  2. Step 2: Convert to fraction form
    150.09/225.48 = 81.64/x
  3. Step 3: Cross multiply
    150.09x = 225.48 × 81.64
  4. Step 4: Simplify right side
    150.09x = 18,408.78
  5. Step 5: Solve for x
    x = 18,408.78/150.09
  6. Step 6: Final answer
    x = 122.65

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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.