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Finding the Fourth Proportional to 122.36, 169.02 and 97.76

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Solution

The fourth proportional to 122.36, 169.02 and 97.76 is: 135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 169.02 = 97.76 : x
  2. Step 2: Convert to fraction form
    122.36/169.02 = 97.76/x
  3. Step 3: Cross multiply
    122.36x = 169.02 × 97.76
  4. Step 4: Simplify right side
    122.36x = 16,523.82
  5. Step 5: Solve for x
    x = 16,523.82/122.36
  6. Step 6: Final answer
    x = 135.05

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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.