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Finding the Fourth Proportional to 123.86, 170.98 and 80.30

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Solution

The fourth proportional to 123.86, 170.98 and 80.30 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 170.98 = 80.30 : x
  2. Step 2: Convert to fraction form
    123.86/170.98 = 80.30/x
  3. Step 3: Cross multiply
    123.86x = 170.98 × 80.30
  4. Step 4: Simplify right side
    123.86x = 13,729.69
  5. Step 5: Solve for x
    x = 13,729.69/123.86
  6. Step 6: Final answer
    x = 110.85

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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.