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Finding the Fourth Proportional to 122.77, 184.02 and 82

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Solution

The fourth proportional to 122.77, 184.02 and 82 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 184.02 = 82 : x
  2. Step 2: Convert to fraction form
    122.77/184.02 = 82/x
  3. Step 3: Cross multiply
    122.77x = 184.02 × 82
  4. Step 4: Simplify right side
    122.77x = 15,089.64
  5. Step 5: Solve for x
    x = 15,089.64/122.77
  6. Step 6: Final answer
    x = 122.91

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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.