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Finding the Fourth Proportional to 122.21, 168.59 and 77.93

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Solution

The fourth proportional to 122.21, 168.59 and 77.93 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.21 : 168.59 = 77.93 : x
  2. Step 2: Convert to fraction form
    122.21/168.59 = 77.93/x
  3. Step 3: Cross multiply
    122.21x = 168.59 × 77.93
  4. Step 4: Simplify right side
    122.21x = 13,138.22
  5. Step 5: Solve for x
    x = 13,138.22/122.21
  6. Step 6: Final answer
    x = 107.50

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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.