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Finding the Fourth Proportional to 122.86, 169.45 and 86.14

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Solution

The fourth proportional to 122.86, 169.45 and 86.14 is: 118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 169.45 = 86.14 : x
  2. Step 2: Convert to fraction form
    122.86/169.45 = 86.14/x
  3. Step 3: Cross multiply
    122.86x = 169.45 × 86.14
  4. Step 4: Simplify right side
    122.86x = 14,596.42
  5. Step 5: Solve for x
    x = 14,596.42/122.86
  6. Step 6: Final answer
    x = 118.81

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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.