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Finding the Fourth Proportional to 84.09, 125.91 and 63.66

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Solution

The fourth proportional to 84.09, 125.91 and 63.66 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 125.91 = 63.66 : x
  2. Step 2: Convert to fraction form
    84.09/125.91 = 63.66/x
  3. Step 3: Cross multiply
    84.09x = 125.91 × 63.66
  4. Step 4: Simplify right side
    84.09x = 8,015.43
  5. Step 5: Solve for x
    x = 8,015.43/84.09
  6. Step 6: Final answer
    x = 95.32

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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.