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Finding the Fourth Proportional to 105.80, 158.29 and 82.71

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Solution

The fourth proportional to 105.80, 158.29 and 82.71 is: 123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 158.29 = 82.71 : x
  2. Step 2: Convert to fraction form
    105.80/158.29 = 82.71/x
  3. Step 3: Cross multiply
    105.80x = 158.29 × 82.71
  4. Step 4: Simplify right side
    105.80x = 13,091.96
  5. Step 5: Solve for x
    x = 13,091.96/105.80
  6. Step 6: Final answer
    x = 123.75

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Why These Related Problems?

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