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Finding the Fourth Proportional to 119.15, 164.33 and 106.85

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Solution

The fourth proportional to 119.15, 164.33 and 106.85 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.15 : 164.33 = 106.85 : x
  2. Step 2: Convert to fraction form
    119.15/164.33 = 106.85/x
  3. Step 3: Cross multiply
    119.15x = 164.33 × 106.85
  4. Step 4: Simplify right side
    119.15x = 17,558.54
  5. Step 5: Solve for x
    x = 17,558.54/119.15
  6. Step 6: Final answer
    x = 147.36

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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.