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Finding the Fourth Proportional to 108.44, 149.45 and 96.19

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Solution

The fourth proportional to 108.44, 149.45 and 96.19 is: 132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 149.45 = 96.19 : x
  2. Step 2: Convert to fraction form
    108.44/149.45 = 96.19/x
  3. Step 3: Cross multiply
    108.44x = 149.45 × 96.19
  4. Step 4: Simplify right side
    108.44x = 14,374.74
  5. Step 5: Solve for x
    x = 14,374.74/108.44
  6. Step 6: Final answer
    x = 132.56

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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.