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Finding the Fourth Proportional to 119.11, 164.44 and 79.82

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Solution

The fourth proportional to 119.11, 164.44 and 79.82 is: 110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.11 : 164.44 = 79.82 : x
  2. Step 2: Convert to fraction form
    119.11/164.44 = 79.82/x
  3. Step 3: Cross multiply
    119.11x = 164.44 × 79.82
  4. Step 4: Simplify right side
    119.11x = 13,125.60
  5. Step 5: Solve for x
    x = 13,125.60/119.11
  6. Step 6: Final answer
    x = 110.20

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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.