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Finding the Fourth Proportional to 89.82, 135.24 and 81

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Solution

The fourth proportional to 89.82, 135.24 and 81 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 135.24 = 81 : x
  2. Step 2: Convert to fraction form
    89.82/135.24 = 81/x
  3. Step 3: Cross multiply
    89.82x = 135.24 × 81
  4. Step 4: Simplify right side
    89.82x = 10,954.44
  5. Step 5: Solve for x
    x = 10,954.44/89.82
  6. Step 6: Final answer
    x = 121.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.