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Finding the Fourth Proportional to 123.05, 169.70 and 91.94

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Solution

The fourth proportional to 123.05, 169.70 and 91.94 is: 126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 169.70 = 91.94 : x
  2. Step 2: Convert to fraction form
    123.05/169.70 = 91.94/x
  3. Step 3: Cross multiply
    123.05x = 169.70 × 91.94
  4. Step 4: Simplify right side
    123.05x = 15,600.91
  5. Step 5: Solve for x
    x = 15,600.91/123.05
  6. Step 6: Final answer
    x = 126.78

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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.