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Finding the Fourth Proportional to 126.08, 173.99 and 84.57

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Solution

The fourth proportional to 126.08, 173.99 and 84.57 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 173.99 = 84.57 : x
  2. Step 2: Convert to fraction form
    126.08/173.99 = 84.57/x
  3. Step 3: Cross multiply
    126.08x = 173.99 × 84.57
  4. Step 4: Simplify right side
    126.08x = 14,713.46
  5. Step 5: Solve for x
    x = 14,713.46/126.08
  6. Step 6: Final answer
    x = 116.70

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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.