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Finding the Fourth Proportional to 89.83, 123.90 and 60.67

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Solution

The fourth proportional to 89.83, 123.90 and 60.67 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 123.90 = 60.67 : x
  2. Step 2: Convert to fraction form
    89.83/123.90 = 60.67/x
  3. Step 3: Cross multiply
    89.83x = 123.90 × 60.67
  4. Step 4: Simplify right side
    89.83x = 7,517.01
  5. Step 5: Solve for x
    x = 7,517.01/89.83
  6. Step 6: Final answer
    x = 83.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.