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Finding the Fourth Proportional to 122.70, 169.30 and 96.47

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Solution

The fourth proportional to 122.70, 169.30 and 96.47 is: 133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 169.30 = 96.47 : x
  2. Step 2: Convert to fraction form
    122.70/169.30 = 96.47/x
  3. Step 3: Cross multiply
    122.70x = 169.30 × 96.47
  4. Step 4: Simplify right side
    122.70x = 16,332.69
  5. Step 5: Solve for x
    x = 16,332.69/122.70
  6. Step 6: Final answer
    x = 133.11

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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.