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Finding the Fourth Proportional to 119.44, 178.19 and 106.46

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Solution

The fourth proportional to 119.44, 178.19 and 106.46 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.44 : 178.19 = 106.46 : x
  2. Step 2: Convert to fraction form
    119.44/178.19 = 106.46/x
  3. Step 3: Cross multiply
    119.44x = 178.19 × 106.46
  4. Step 4: Simplify right side
    119.44x = 18,969.48
  5. Step 5: Solve for x
    x = 18,969.48/119.44
  6. Step 6: Final answer
    x = 158.82

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Why These Related Problems?

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