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Finding the Fourth Proportional to 120.15, 165.39 and 104.52

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Solution

The fourth proportional to 120.15, 165.39 and 104.52 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 165.39 = 104.52 : x
  2. Step 2: Convert to fraction form
    120.15/165.39 = 104.52/x
  3. Step 3: Cross multiply
    120.15x = 165.39 × 104.52
  4. Step 4: Simplify right side
    120.15x = 17,286.56
  5. Step 5: Solve for x
    x = 17,286.56/120.15
  6. Step 6: Final answer
    x = 143.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.