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Finding the Fourth Proportional to 126.02, 173.96 and 84.60

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Solution

The fourth proportional to 126.02, 173.96 and 84.60 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 173.96 = 84.60 : x
  2. Step 2: Convert to fraction form
    126.02/173.96 = 84.60/x
  3. Step 3: Cross multiply
    126.02x = 173.96 × 84.60
  4. Step 4: Simplify right side
    126.02x = 14,715.93
  5. Step 5: Solve for x
    x = 14,715.93/126.02
  6. Step 6: Final answer
    x = 116.78

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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.