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Finding the Fourth Proportional to 122.68, 168.50 and 108.10

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Solution

The fourth proportional to 122.68, 168.50 and 108.10 is: 148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.68 : 168.50 = 108.10 : x
  2. Step 2: Convert to fraction form
    122.68/168.50 = 108.10/x
  3. Step 3: Cross multiply
    122.68x = 168.50 × 108.10
  4. Step 4: Simplify right side
    122.68x = 18,214.85
  5. Step 5: Solve for x
    x = 18,214.85/122.68
  6. Step 6: Final answer
    x = 148.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.