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Finding the Fourth Proportional to 89.09, 123.06 and 82.61

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Solution

The fourth proportional to 89.09, 123.06 and 82.61 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.09 : 123.06 = 82.61 : x
  2. Step 2: Convert to fraction form
    89.09/123.06 = 82.61/x
  3. Step 3: Cross multiply
    89.09x = 123.06 × 82.61
  4. Step 4: Simplify right side
    89.09x = 10,165.37
  5. Step 5: Solve for x
    x = 10,165.37/89.09
  6. Step 6: Final answer
    x = 114.11

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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.