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Finding the Fourth Proportional to 123.14, 169.86 and 86.23

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Solution

The fourth proportional to 123.14, 169.86 and 86.23 is: 118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 169.86 = 86.23 : x
  2. Step 2: Convert to fraction form
    123.14/169.86 = 86.23/x
  3. Step 3: Cross multiply
    123.14x = 169.86 × 86.23
  4. Step 4: Simplify right side
    123.14x = 14,647.03
  5. Step 5: Solve for x
    x = 14,647.03/123.14
  6. Step 6: Final answer
    x = 118.95

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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.