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Finding the Fourth Proportional to 151.68, 227.34 and 83.22

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Solution

The fourth proportional to 151.68, 227.34 and 83.22 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 227.34 = 83.22 : x
  2. Step 2: Convert to fraction form
    151.68/227.34 = 83.22/x
  3. Step 3: Cross multiply
    151.68x = 227.34 × 83.22
  4. Step 4: Simplify right side
    151.68x = 18,919.23
  5. Step 5: Solve for x
    x = 18,919.23/151.68
  6. Step 6: Final answer
    x = 124.73

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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.