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Finding the Fourth Proportional to 119.22, 178.83 and 71.14

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Solution

The fourth proportional to 119.22, 178.83 and 71.14 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 178.83 = 71.14 : x
  2. Step 2: Convert to fraction form
    119.22/178.83 = 71.14/x
  3. Step 3: Cross multiply
    119.22x = 178.83 × 71.14
  4. Step 4: Simplify right side
    119.22x = 12,721.97
  5. Step 5: Solve for x
    x = 12,721.97/119.22
  6. Step 6: Final answer
    x = 106.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.