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Finding the Fourth Proportional to 151.14, 227.01 and 99.85

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Solution

The fourth proportional to 151.14, 227.01 and 99.85 is: 149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 227.01 = 99.85 : x
  2. Step 2: Convert to fraction form
    151.14/227.01 = 99.85/x
  3. Step 3: Cross multiply
    151.14x = 227.01 × 99.85
  4. Step 4: Simplify right side
    151.14x = 22,666.95
  5. Step 5: Solve for x
    x = 22,666.95/151.14
  6. Step 6: Final answer
    x = 149.97

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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.