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Finding the Fourth Proportional to 122.03, 168.42 and 75.41

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Solution

The fourth proportional to 122.03, 168.42 and 75.41 is: 104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.03 : 168.42 = 75.41 : x
  2. Step 2: Convert to fraction form
    122.03/168.42 = 75.41/x
  3. Step 3: Cross multiply
    122.03x = 168.42 × 75.41
  4. Step 4: Simplify right side
    122.03x = 12,699.71
  5. Step 5: Solve for x
    x = 12,699.71/122.03
  6. Step 6: Final answer
    x = 104.07

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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.