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Finding the Fourth Proportional to 119.45, 178.38 and 103.23

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Solution

The fourth proportional to 119.45, 178.38 and 103.23 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.45 : 178.38 = 103.23 : x
  2. Step 2: Convert to fraction form
    119.45/178.38 = 103.23/x
  3. Step 3: Cross multiply
    119.45x = 178.38 × 103.23
  4. Step 4: Simplify right side
    119.45x = 18,414.43
  5. Step 5: Solve for x
    x = 18,414.43/119.45
  6. Step 6: Final answer
    x = 154.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.