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Finding the Fourth Proportional to 122.85, 183.10 and 122.66

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Solution

The fourth proportional to 122.85, 183.10 and 122.66 is: 182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.85 : 183.10 = 122.66 : x
  2. Step 2: Convert to fraction form
    122.85/183.10 = 122.66/x
  3. Step 3: Cross multiply
    122.85x = 183.10 × 122.66
  4. Step 4: Simplify right side
    122.85x = 22,459.05
  5. Step 5: Solve for x
    x = 22,459.05/122.85
  6. Step 6: Final answer
    x = 182.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.