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Finding the Fourth Proportional to 108.44, 149.60 and 83.99

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Solution

The fourth proportional to 108.44, 149.60 and 83.99 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 149.60 = 83.99 : x
  2. Step 2: Convert to fraction form
    108.44/149.60 = 83.99/x
  3. Step 3: Cross multiply
    108.44x = 149.60 × 83.99
  4. Step 4: Simplify right side
    108.44x = 12,564.17
  5. Step 5: Solve for x
    x = 12,564.17/108.44
  6. Step 6: Final answer
    x = 115.86

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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.