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Finding the Fourth Proportional to 108.12, 149.37 and 71.37

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Solution

The fourth proportional to 108.12, 149.37 and 71.37 is: 98.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.12 : 149.37 = 71.37 : x
  2. Step 2: Convert to fraction form
    108.12/149.37 = 71.37/x
  3. Step 3: Cross multiply
    108.12x = 149.37 × 71.37
  4. Step 4: Simplify right side
    108.12x = 10,660.54
  5. Step 5: Solve for x
    x = 10,660.54/108.12
  6. Step 6: Final answer
    x = 98.60

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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.