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Finding the Fourth Proportional to 165.06, 227.85 and 121.71

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Solution

The fourth proportional to 165.06, 227.85 and 121.71 is: 168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 227.85 = 121.71 : x
  2. Step 2: Convert to fraction form
    165.06/227.85 = 121.71/x
  3. Step 3: Cross multiply
    165.06x = 227.85 × 121.71
  4. Step 4: Simplify right side
    165.06x = 27,731.62
  5. Step 5: Solve for x
    x = 27,731.62/165.06
  6. Step 6: Final answer
    x = 168.01

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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.