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Finding the Fourth Proportional to 120.86, 180.96 and 84.22

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Solution

The fourth proportional to 120.86, 180.96 and 84.22 is: 126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 180.96 = 84.22 : x
  2. Step 2: Convert to fraction form
    120.86/180.96 = 84.22/x
  3. Step 3: Cross multiply
    120.86x = 180.96 × 84.22
  4. Step 4: Simplify right side
    120.86x = 15,240.45
  5. Step 5: Solve for x
    x = 15,240.45/120.86
  6. Step 6: Final answer
    x = 126.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.