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Finding the Fourth Proportional to 105.41, 158.27 and 82.86

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Solution

The fourth proportional to 105.41, 158.27 and 82.86 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 158.27 = 82.86 : x
  2. Step 2: Convert to fraction form
    105.41/158.27 = 82.86/x
  3. Step 3: Cross multiply
    105.41x = 158.27 × 82.86
  4. Step 4: Simplify right side
    105.41x = 13,114.25
  5. Step 5: Solve for x
    x = 13,114.25/105.41
  6. Step 6: Final answer
    x = 124.41

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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.