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Finding the Fourth Proportional to 105.56, 158.25 and 82.61

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Solution

The fourth proportional to 105.56, 158.25 and 82.61 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.56 : 158.25 = 82.61 : x
  2. Step 2: Convert to fraction form
    105.56/158.25 = 82.61/x
  3. Step 3: Cross multiply
    105.56x = 158.25 × 82.61
  4. Step 4: Simplify right side
    105.56x = 13,073.03
  5. Step 5: Solve for x
    x = 13,073.03/105.56
  6. Step 6: Final answer
    x = 123.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.