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Finding the Fourth Proportional to 119.92, 165.45 and 83.09

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Solution

The fourth proportional to 119.92, 165.45 and 83.09 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 165.45 = 83.09 : x
  2. Step 2: Convert to fraction form
    119.92/165.45 = 83.09/x
  3. Step 3: Cross multiply
    119.92x = 165.45 × 83.09
  4. Step 4: Simplify right side
    119.92x = 13,747.24
  5. Step 5: Solve for x
    x = 13,747.24/119.92
  6. Step 6: Final answer
    x = 114.64

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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.