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Finding the Fourth Proportional to 151.96, 227.79 and 74.83

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Solution

The fourth proportional to 151.96, 227.79 and 74.83 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 227.79 = 74.83 : x
  2. Step 2: Convert to fraction form
    151.96/227.79 = 74.83/x
  3. Step 3: Cross multiply
    151.96x = 227.79 × 74.83
  4. Step 4: Simplify right side
    151.96x = 17,045.53
  5. Step 5: Solve for x
    x = 17,045.53/151.96
  6. Step 6: Final answer
    x = 112.17

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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.