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Finding the Fourth Proportional to 119.82, 164.45 and 110.10

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Solution

The fourth proportional to 119.82, 164.45 and 110.10 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 164.45 = 110.10 : x
  2. Step 2: Convert to fraction form
    119.82/164.45 = 110.10/x
  3. Step 3: Cross multiply
    119.82x = 164.45 × 110.10
  4. Step 4: Simplify right side
    119.82x = 18,105.39
  5. Step 5: Solve for x
    x = 18,105.39/119.82
  6. Step 6: Final answer
    x = 151.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.