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Finding the Fourth Proportional to 122.40, 168.91 and 96.20

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Solution

The fourth proportional to 122.40, 168.91 and 96.20 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 168.91 = 96.20 : x
  2. Step 2: Convert to fraction form
    122.40/168.91 = 96.20/x
  3. Step 3: Cross multiply
    122.40x = 168.91 × 96.20
  4. Step 4: Simplify right side
    122.40x = 16,249.14
  5. Step 5: Solve for x
    x = 16,249.14/122.40
  6. Step 6: Final answer
    x = 132.75

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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.