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Finding the Fourth Proportional to 108.71, 163.10 and 57.35

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Solution

The fourth proportional to 108.71, 163.10 and 57.35 is: 86.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.71 : 163.10 = 57.35 : x
  2. Step 2: Convert to fraction form
    108.71/163.10 = 57.35/x
  3. Step 3: Cross multiply
    108.71x = 163.10 × 57.35
  4. Step 4: Simplify right side
    108.71x = 9,353.87
  5. Step 5: Solve for x
    x = 9,353.87/108.71
  6. Step 6: Final answer
    x = 86.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.