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Finding the Fourth Proportional to 122.76, 169.22 and 98.16

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Solution

The fourth proportional to 122.76, 169.22 and 98.16 is: 135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 169.22 = 98.16 : x
  2. Step 2: Convert to fraction form
    122.76/169.22 = 98.16/x
  3. Step 3: Cross multiply
    122.76x = 169.22 × 98.16
  4. Step 4: Simplify right side
    122.76x = 16,610.64
  5. Step 5: Solve for x
    x = 16,610.64/122.76
  6. Step 6: Final answer
    x = 135.31

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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.