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Finding the Fourth Proportional to 122.04, 168.24 and 100.08

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Solution

The fourth proportional to 122.04, 168.24 and 100.08 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 168.24 = 100.08 : x
  2. Step 2: Convert to fraction form
    122.04/168.24 = 100.08/x
  3. Step 3: Cross multiply
    122.04x = 168.24 × 100.08
  4. Step 4: Simplify right side
    122.04x = 16,837.46
  5. Step 5: Solve for x
    x = 16,837.46/122.04
  6. Step 6: Final answer
    x = 137.97

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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.