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Finding the Fourth Proportional to 87.21, 120.37 and 84.37

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Solution

The fourth proportional to 87.21, 120.37 and 84.37 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.21 : 120.37 = 84.37 : x
  2. Step 2: Convert to fraction form
    87.21/120.37 = 84.37/x
  3. Step 3: Cross multiply
    87.21x = 120.37 × 84.37
  4. Step 4: Simplify right side
    87.21x = 10,155.42
  5. Step 5: Solve for x
    x = 10,155.42/87.21
  6. Step 6: Final answer
    x = 116.44

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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.