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Finding the Fourth Proportional to 150.40, 225.34 and 81.77

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Solution

The fourth proportional to 150.40, 225.34 and 81.77 is: 122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 225.34 = 81.77 : x
  2. Step 2: Convert to fraction form
    150.40/225.34 = 81.77/x
  3. Step 3: Cross multiply
    150.40x = 225.34 × 81.77
  4. Step 4: Simplify right side
    150.40x = 18,426.05
  5. Step 5: Solve for x
    x = 18,426.05/150.40
  6. Step 6: Final answer
    x = 122.51

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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.