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Finding the Fourth Proportional to 122.86, 169.36 and 98.26

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Solution

The fourth proportional to 122.86, 169.36 and 98.26 is: 135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 169.36 = 98.26 : x
  2. Step 2: Convert to fraction form
    122.86/169.36 = 98.26/x
  3. Step 3: Cross multiply
    122.86x = 169.36 × 98.26
  4. Step 4: Simplify right side
    122.86x = 16,641.31
  5. Step 5: Solve for x
    x = 16,641.31/122.86
  6. Step 6: Final answer
    x = 135.45

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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.