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Finding the Fourth Proportional to 89.97, 123.51 and 82.68

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Solution

The fourth proportional to 89.97, 123.51 and 82.68 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.97 : 123.51 = 82.68 : x
  2. Step 2: Convert to fraction form
    89.97/123.51 = 82.68/x
  3. Step 3: Cross multiply
    89.97x = 123.51 × 82.68
  4. Step 4: Simplify right side
    89.97x = 10,211.81
  5. Step 5: Solve for x
    x = 10,211.81/89.97
  6. Step 6: Final answer
    x = 113.50

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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.