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Finding the Fourth Proportional to 119.09, 164.17 and 84.01

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Solution

The fourth proportional to 119.09, 164.17 and 84.01 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 164.17 = 84.01 : x
  2. Step 2: Convert to fraction form
    119.09/164.17 = 84.01/x
  3. Step 3: Cross multiply
    119.09x = 164.17 × 84.01
  4. Step 4: Simplify right side
    119.09x = 13,791.92
  5. Step 5: Solve for x
    x = 13,791.92/119.09
  6. Step 6: Final answer
    x = 115.81

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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.