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Finding the Fourth Proportional to 122.65, 169.22 and 83.37

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Solution

The fourth proportional to 122.65, 169.22 and 83.37 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.65 : 169.22 = 83.37 : x
  2. Step 2: Convert to fraction form
    122.65/169.22 = 83.37/x
  3. Step 3: Cross multiply
    122.65x = 169.22 × 83.37
  4. Step 4: Simplify right side
    122.65x = 14,108.71
  5. Step 5: Solve for x
    x = 14,108.71/122.65
  6. Step 6: Final answer
    x = 115.03

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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.