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Finding the Fourth Proportional to 122.90, 169.34 and 98.24

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Solution

The fourth proportional to 122.90, 169.34 and 98.24 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.90 : 169.34 = 98.24 : x
  2. Step 2: Convert to fraction form
    122.90/169.34 = 98.24/x
  3. Step 3: Cross multiply
    122.90x = 169.34 × 98.24
  4. Step 4: Simplify right side
    122.90x = 16,634.62
  5. Step 5: Solve for x
    x = 16,634.62/122.90
  6. Step 6: Final answer
    x = 135.36

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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.