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Finding the Fourth Proportional to 119.44, 164.82 and 84.52

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Solution

The fourth proportional to 119.44, 164.82 and 84.52 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.44 : 164.82 = 84.52 : x
  2. Step 2: Convert to fraction form
    119.44/164.82 = 84.52/x
  3. Step 3: Cross multiply
    119.44x = 164.82 × 84.52
  4. Step 4: Simplify right side
    119.44x = 13,930.59
  5. Step 5: Solve for x
    x = 13,930.59/119.44
  6. Step 6: Final answer
    x = 116.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.