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Finding the Fourth Proportional to 168.90, 233.13 and 122.25

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Solution

The fourth proportional to 168.90, 233.13 and 122.25 is: 168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.90 : 233.13 = 122.25 : x
  2. Step 2: Convert to fraction form
    168.90/233.13 = 122.25/x
  3. Step 3: Cross multiply
    168.90x = 233.13 × 122.25
  4. Step 4: Simplify right side
    168.90x = 28,500.14
  5. Step 5: Solve for x
    x = 28,500.14/168.90
  6. Step 6: Final answer
    x = 168.74

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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.