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Finding the Fourth Proportional to 89.11, 132.95 and 77.68

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Solution

The fourth proportional to 89.11, 132.95 and 77.68 is: 115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.11 : 132.95 = 77.68 : x
  2. Step 2: Convert to fraction form
    89.11/132.95 = 77.68/x
  3. Step 3: Cross multiply
    89.11x = 132.95 × 77.68
  4. Step 4: Simplify right side
    89.11x = 10,327.56
  5. Step 5: Solve for x
    x = 10,327.56/89.11
  6. Step 6: Final answer
    x = 115.90

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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.