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Finding the Fourth Proportional to 126.11, 173.95 and 84.10

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Solution

The fourth proportional to 126.11, 173.95 and 84.10 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.11 : 173.95 = 84.10 : x
  2. Step 2: Convert to fraction form
    126.11/173.95 = 84.10/x
  3. Step 3: Cross multiply
    126.11x = 173.95 × 84.10
  4. Step 4: Simplify right side
    126.11x = 14,629.20
  5. Step 5: Solve for x
    x = 14,629.20/126.11
  6. Step 6: Final answer
    x = 116.00

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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.