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Finding the Fourth Proportional to 119.09, 164.34 and 66.63

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Solution

The fourth proportional to 119.09, 164.34 and 66.63 is: 91.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 164.34 = 66.63 : x
  2. Step 2: Convert to fraction form
    119.09/164.34 = 66.63/x
  3. Step 3: Cross multiply
    119.09x = 164.34 × 66.63
  4. Step 4: Simplify right side
    119.09x = 10,949.97
  5. Step 5: Solve for x
    x = 10,949.97/119.09
  6. Step 6: Final answer
    x = 91.95

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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.