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Finding the Fourth Proportional to 116.46, 173.84 and 108.02

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Solution

The fourth proportional to 116.46, 173.84 and 108.02 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.46 : 173.84 = 108.02 : x
  2. Step 2: Convert to fraction form
    116.46/173.84 = 108.02/x
  3. Step 3: Cross multiply
    116.46x = 173.84 × 108.02
  4. Step 4: Simplify right side
    116.46x = 18,777.60
  5. Step 5: Solve for x
    x = 18,777.60/116.46
  6. Step 6: Final answer
    x = 161.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.