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Finding the Fourth Proportional to 108.44, 149.55 and 83.84

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Solution

The fourth proportional to 108.44, 149.55 and 83.84 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 149.55 = 83.84 : x
  2. Step 2: Convert to fraction form
    108.44/149.55 = 83.84/x
  3. Step 3: Cross multiply
    108.44x = 149.55 × 83.84
  4. Step 4: Simplify right side
    108.44x = 12,537.21
  5. Step 5: Solve for x
    x = 12,537.21/108.44
  6. Step 6: Final answer
    x = 115.62

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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.