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Finding the Fourth Proportional to 122.82, 169.33 and 100.98

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Solution

The fourth proportional to 122.82, 169.33 and 100.98 is: 139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.82 : 169.33 = 100.98 : x
  2. Step 2: Convert to fraction form
    122.82/169.33 = 100.98/x
  3. Step 3: Cross multiply
    122.82x = 169.33 × 100.98
  4. Step 4: Simplify right side
    122.82x = 17,098.94
  5. Step 5: Solve for x
    x = 17,098.94/122.82
  6. Step 6: Final answer
    x = 139.22

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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.