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Finding the Fourth Proportional to 119.14, 164.41 and 66.67

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Solution

The fourth proportional to 119.14, 164.41 and 66.67 is: 92.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.14 : 164.41 = 66.67 : x
  2. Step 2: Convert to fraction form
    119.14/164.41 = 66.67/x
  3. Step 3: Cross multiply
    119.14x = 164.41 × 66.67
  4. Step 4: Simplify right side
    119.14x = 10,961.94
  5. Step 5: Solve for x
    x = 10,961.94/119.14
  6. Step 6: Final answer
    x = 92.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.