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Finding the Fourth Proportional to 108.23, 163.60 and 108.23

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Solution

The fourth proportional to 108.23, 163.60 and 108.23 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 163.60 = 108.23 : x
  2. Step 2: Convert to fraction form
    108.23/163.60 = 108.23/x
  3. Step 3: Cross multiply
    108.23x = 163.60 × 108.23
  4. Step 4: Simplify right side
    108.23x = 17,706.43
  5. Step 5: Solve for x
    x = 17,706.43/108.23
  6. Step 6: Final answer
    x = 163.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.