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Finding the Fourth Proportional to 122.22, 168.53 and 85.41

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Solution

The fourth proportional to 122.22, 168.53 and 85.41 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 168.53 = 85.41 : x
  2. Step 2: Convert to fraction form
    122.22/168.53 = 85.41/x
  3. Step 3: Cross multiply
    122.22x = 168.53 × 85.41
  4. Step 4: Simplify right side
    122.22x = 14,393.72
  5. Step 5: Solve for x
    x = 14,393.72/122.22
  6. Step 6: Final answer
    x = 117.77

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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.