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Finding the Fourth Proportional to 120.09, 165.56 and 83.24

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Solution

The fourth proportional to 120.09, 165.56 and 83.24 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 165.56 = 83.24 : x
  2. Step 2: Convert to fraction form
    120.09/165.56 = 83.24/x
  3. Step 3: Cross multiply
    120.09x = 165.56 × 83.24
  4. Step 4: Simplify right side
    120.09x = 13,781.21
  5. Step 5: Solve for x
    x = 13,781.21/120.09
  6. Step 6: Final answer
    x = 114.76

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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.