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Finding the Fourth Proportional to 108.43, 149.57 and 71.57

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Solution

The fourth proportional to 108.43, 149.57 and 71.57 is: 98.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.43 : 149.57 = 71.57 : x
  2. Step 2: Convert to fraction form
    108.43/149.57 = 71.57/x
  3. Step 3: Cross multiply
    108.43x = 149.57 × 71.57
  4. Step 4: Simplify right side
    108.43x = 10,704.37
  5. Step 5: Solve for x
    x = 10,704.37/108.43
  6. Step 6: Final answer
    x = 98.73

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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.