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Finding the Fourth Proportional to 122.70, 169.14 and 99.28

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Solution

The fourth proportional to 122.70, 169.14 and 99.28 is: 136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 169.14 = 99.28 : x
  2. Step 2: Convert to fraction form
    122.70/169.14 = 99.28/x
  3. Step 3: Cross multiply
    122.70x = 169.14 × 99.28
  4. Step 4: Simplify right side
    122.70x = 16,792.22
  5. Step 5: Solve for x
    x = 16,792.22/122.70
  6. Step 6: Final answer
    x = 136.86

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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.