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Finding the Fourth Proportional to 123.86, 170.82 and 80.21

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Solution

The fourth proportional to 123.86, 170.82 and 80.21 is: 110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 170.82 = 80.21 : x
  2. Step 2: Convert to fraction form
    123.86/170.82 = 80.21/x
  3. Step 3: Cross multiply
    123.86x = 170.82 × 80.21
  4. Step 4: Simplify right side
    123.86x = 13,700.62
  5. Step 5: Solve for x
    x = 13,700.62/123.86
  6. Step 6: Final answer
    x = 110.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.