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Finding the Fourth Proportional to 108.15, 149.07 and 75.33

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Solution

The fourth proportional to 108.15, 149.07 and 75.33 is: 103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.15 : 149.07 = 75.33 : x
  2. Step 2: Convert to fraction form
    108.15/149.07 = 75.33/x
  3. Step 3: Cross multiply
    108.15x = 149.07 × 75.33
  4. Step 4: Simplify right side
    108.15x = 11,229.44
  5. Step 5: Solve for x
    x = 11,229.44/108.15
  6. Step 6: Final answer
    x = 103.83

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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.