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Finding the Fourth Proportional to 122.11, 183.17 and 30.81

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Solution

The fourth proportional to 122.11, 183.17 and 30.81 is: 46.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 183.17 = 30.81 : x
  2. Step 2: Convert to fraction form
    122.11/183.17 = 30.81/x
  3. Step 3: Cross multiply
    122.11x = 183.17 × 30.81
  4. Step 4: Simplify right side
    122.11x = 5,643.47
  5. Step 5: Solve for x
    x = 5,643.47/122.11
  6. Step 6: Final answer
    x = 46.22

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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.