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Finding the Fourth Proportional to 122.04, 168.39 and 72.24

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Solution

The fourth proportional to 122.04, 168.39 and 72.24 is: 99.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 168.39 = 72.24 : x
  2. Step 2: Convert to fraction form
    122.04/168.39 = 72.24/x
  3. Step 3: Cross multiply
    122.04x = 168.39 × 72.24
  4. Step 4: Simplify right side
    122.04x = 12,164.49
  5. Step 5: Solve for x
    x = 12,164.49/122.04
  6. Step 6: Final answer
    x = 99.68

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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.