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Finding the Fourth Proportional to 123.09, 169.81 and 83.82

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Solution

The fourth proportional to 123.09, 169.81 and 83.82 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 169.81 = 83.82 : x
  2. Step 2: Convert to fraction form
    123.09/169.81 = 83.82/x
  3. Step 3: Cross multiply
    123.09x = 169.81 × 83.82
  4. Step 4: Simplify right side
    123.09x = 14,233.47
  5. Step 5: Solve for x
    x = 14,233.47/123.09
  6. Step 6: Final answer
    x = 115.63

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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.