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Finding the Fourth Proportional to 122.88, 169.76 and 96.83

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Solution

The fourth proportional to 122.88, 169.76 and 96.83 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 169.76 = 96.83 : x
  2. Step 2: Convert to fraction form
    122.88/169.76 = 96.83/x
  3. Step 3: Cross multiply
    122.88x = 169.76 × 96.83
  4. Step 4: Simplify right side
    122.88x = 16,437.44
  5. Step 5: Solve for x
    x = 16,437.44/122.88
  6. Step 6: Final answer
    x = 133.77

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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.