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Finding the Fourth Proportional to 120.07, 165.77 and 83.21

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Solution

The fourth proportional to 120.07, 165.77 and 83.21 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 165.77 = 83.21 : x
  2. Step 2: Convert to fraction form
    120.07/165.77 = 83.21/x
  3. Step 3: Cross multiply
    120.07x = 165.77 × 83.21
  4. Step 4: Simplify right side
    120.07x = 13,794.03
  5. Step 5: Solve for x
    x = 13,794.03/120.07
  6. Step 6: Final answer
    x = 114.89

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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.