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Finding the Fourth Proportional to 119.63, 165.22 and 80.75

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Solution

The fourth proportional to 119.63, 165.22 and 80.75 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 165.22 = 80.75 : x
  2. Step 2: Convert to fraction form
    119.63/165.22 = 80.75/x
  3. Step 3: Cross multiply
    119.63x = 165.22 × 80.75
  4. Step 4: Simplify right side
    119.63x = 13,340.49
  5. Step 5: Solve for x
    x = 13,340.49/119.63
  6. Step 6: Final answer
    x = 111.52

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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.