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Finding the Fourth Proportional to 150.79, 225.78 and 81.99

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Solution

The fourth proportional to 150.79, 225.78 and 81.99 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.79 : 225.78 = 81.99 : x
  2. Step 2: Convert to fraction form
    150.79/225.78 = 81.99/x
  3. Step 3: Cross multiply
    150.79x = 225.78 × 81.99
  4. Step 4: Simplify right side
    150.79x = 18,511.70
  5. Step 5: Solve for x
    x = 18,511.70/150.79
  6. Step 6: Final answer
    x = 122.76

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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.