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Finding the Fourth Proportional to 164.68, 227.02 and 121.12

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Solution

The fourth proportional to 164.68, 227.02 and 121.12 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 227.02 = 121.12 : x
  2. Step 2: Convert to fraction form
    164.68/227.02 = 121.12/x
  3. Step 3: Cross multiply
    164.68x = 227.02 × 121.12
  4. Step 4: Simplify right side
    164.68x = 27,496.66
  5. Step 5: Solve for x
    x = 27,496.66/164.68
  6. Step 6: Final answer
    x = 166.97

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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.