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Finding the Fourth Proportional to 122.70, 184.24 and 105.77

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Solution

The fourth proportional to 122.70, 184.24 and 105.77 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 184.24 = 105.77 : x
  2. Step 2: Convert to fraction form
    122.70/184.24 = 105.77/x
  3. Step 3: Cross multiply
    122.70x = 184.24 × 105.77
  4. Step 4: Simplify right side
    122.70x = 19,487.06
  5. Step 5: Solve for x
    x = 19,487.06/122.70
  6. Step 6: Final answer
    x = 158.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.