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Finding the Fourth Proportional to 108.96, 151.41 and 107.84

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Solution

The fourth proportional to 108.96, 151.41 and 107.84 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 151.41 = 107.84 : x
  2. Step 2: Convert to fraction form
    108.96/151.41 = 107.84/x
  3. Step 3: Cross multiply
    108.96x = 151.41 × 107.84
  4. Step 4: Simplify right side
    108.96x = 16,328.05
  5. Step 5: Solve for x
    x = 16,328.05/108.96
  6. Step 6: Final answer
    x = 149.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.