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Finding the Fourth Proportional to 108.66, 163.23 and 65.94

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Solution

The fourth proportional to 108.66, 163.23 and 65.94 is: 99.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 163.23 = 65.94 : x
  2. Step 2: Convert to fraction form
    108.66/163.23 = 65.94/x
  3. Step 3: Cross multiply
    108.66x = 163.23 × 65.94
  4. Step 4: Simplify right side
    108.66x = 10,763.39
  5. Step 5: Solve for x
    x = 10,763.39/108.66
  6. Step 6: Final answer
    x = 99.06

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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.