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Finding the Fourth Proportional to 150.68, 225.72 and 92.73

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Solution

The fourth proportional to 150.68, 225.72 and 92.73 is: 138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 225.72 = 92.73 : x
  2. Step 2: Convert to fraction form
    150.68/225.72 = 92.73/x
  3. Step 3: Cross multiply
    150.68x = 225.72 × 92.73
  4. Step 4: Simplify right side
    150.68x = 20,931.02
  5. Step 5: Solve for x
    x = 20,931.02/150.68
  6. Step 6: Final answer
    x = 138.91

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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.