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Finding the Fourth Proportional to 105.72, 158.43 and 82.47

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Solution

The fourth proportional to 105.72, 158.43 and 82.47 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 158.43 = 82.47 : x
  2. Step 2: Convert to fraction form
    105.72/158.43 = 82.47/x
  3. Step 3: Cross multiply
    105.72x = 158.43 × 82.47
  4. Step 4: Simplify right side
    105.72x = 13,065.72
  5. Step 5: Solve for x
    x = 13,065.72/105.72
  6. Step 6: Final answer
    x = 123.59

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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.