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Finding the Fourth Proportional to 89.10, 132.84 and 80.55

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Solution

The fourth proportional to 89.10, 132.84 and 80.55 is: 120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 132.84 = 80.55 : x
  2. Step 2: Convert to fraction form
    89.10/132.84 = 80.55/x
  3. Step 3: Cross multiply
    89.10x = 132.84 × 80.55
  4. Step 4: Simplify right side
    89.10x = 10,700.26
  5. Step 5: Solve for x
    x = 10,700.26/89.10
  6. Step 6: Final answer
    x = 120.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.