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Finding the Fourth Proportional to 151.37, 227.19 and 82.01

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Solution

The fourth proportional to 151.37, 227.19 and 82.01 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.37 : 227.19 = 82.01 : x
  2. Step 2: Convert to fraction form
    151.37/227.19 = 82.01/x
  3. Step 3: Cross multiply
    151.37x = 227.19 × 82.01
  4. Step 4: Simplify right side
    151.37x = 18,631.85
  5. Step 5: Solve for x
    x = 18,631.85/151.37
  6. Step 6: Final answer
    x = 123.09

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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.