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Finding the Fourth Proportional to 89.89, 134.27 and 77.74

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Solution

The fourth proportional to 89.89, 134.27 and 77.74 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.89 : 134.27 = 77.74 : x
  2. Step 2: Convert to fraction form
    89.89/134.27 = 77.74/x
  3. Step 3: Cross multiply
    89.89x = 134.27 × 77.74
  4. Step 4: Simplify right side
    89.89x = 10,438.25
  5. Step 5: Solve for x
    x = 10,438.25/89.89
  6. Step 6: Final answer
    x = 116.12

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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.