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Finding the Fourth Proportional to 165.05, 227.71 and 109.82

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Solution

The fourth proportional to 165.05, 227.71 and 109.82 is: 151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 227.71 = 109.82 : x
  2. Step 2: Convert to fraction form
    165.05/227.71 = 109.82/x
  3. Step 3: Cross multiply
    165.05x = 227.71 × 109.82
  4. Step 4: Simplify right side
    165.05x = 25,007.39
  5. Step 5: Solve for x
    x = 25,007.39/165.05
  6. Step 6: Final answer
    x = 151.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.