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Finding the Fourth Proportional to 122.25, 183.01 and 76.49

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Solution

The fourth proportional to 122.25, 183.01 and 76.49 is: 114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 183.01 = 76.49 : x
  2. Step 2: Convert to fraction form
    122.25/183.01 = 76.49/x
  3. Step 3: Cross multiply
    122.25x = 183.01 × 76.49
  4. Step 4: Simplify right side
    122.25x = 13,997.14
  5. Step 5: Solve for x
    x = 13,997.14/122.25
  6. Step 6: Final answer
    x = 114.50

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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.