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Finding the Fourth Proportional to 119.24, 164.17 and 103.90

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Solution

The fourth proportional to 119.24, 164.17 and 103.90 is: 143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.24 : 164.17 = 103.90 : x
  2. Step 2: Convert to fraction form
    119.24/164.17 = 103.90/x
  3. Step 3: Cross multiply
    119.24x = 164.17 × 103.90
  4. Step 4: Simplify right side
    119.24x = 17,057.26
  5. Step 5: Solve for x
    x = 17,057.26/119.24
  6. Step 6: Final answer
    x = 143.05

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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.