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Finding the Fourth Proportional to 123, 169.61 and 81.54

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Solution

The fourth proportional to 123, 169.61 and 81.54 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 169.61 = 81.54 : x
  2. Step 2: Convert to fraction form
    123/169.61 = 81.54/x
  3. Step 3: Cross multiply
    123x = 169.61 × 81.54
  4. Step 4: Simplify right side
    123x = 13,829.59
  5. Step 5: Solve for x
    x = 13,829.59/123
  6. Step 6: Final answer
    x = 112.44

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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.