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Finding the Fourth Proportional to 84.20, 115.89 and 73.22

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Solution

The fourth proportional to 84.20, 115.89 and 73.22 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.20 : 115.89 = 73.22 : x
  2. Step 2: Convert to fraction form
    84.20/115.89 = 73.22/x
  3. Step 3: Cross multiply
    84.20x = 115.89 × 73.22
  4. Step 4: Simplify right side
    84.20x = 8,485.47
  5. Step 5: Solve for x
    x = 8,485.47/84.20
  6. Step 6: Final answer
    x = 100.78

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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.