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Finding the Fourth Proportional to 89.75, 123.05 and 86.67

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Solution

The fourth proportional to 89.75, 123.05 and 86.67 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 123.05 = 86.67 : x
  2. Step 2: Convert to fraction form
    89.75/123.05 = 86.67/x
  3. Step 3: Cross multiply
    89.75x = 123.05 × 86.67
  4. Step 4: Simplify right side
    89.75x = 10,664.96
  5. Step 5: Solve for x
    x = 10,664.96/89.75
  6. Step 6: Final answer
    x = 118.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.