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Finding the Fourth Proportional to 120.26, 165.99 and 83.40

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Solution

The fourth proportional to 120.26, 165.99 and 83.40 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 165.99 = 83.40 : x
  2. Step 2: Convert to fraction form
    120.26/165.99 = 83.40/x
  3. Step 3: Cross multiply
    120.26x = 165.99 × 83.40
  4. Step 4: Simplify right side
    120.26x = 13,843.57
  5. Step 5: Solve for x
    x = 13,843.57/120.26
  6. Step 6: Final answer
    x = 115.12

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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.