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Finding the Fourth Proportional to 122.64, 183.97 and 31.34

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Solution

The fourth proportional to 122.64, 183.97 and 31.34 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 183.97 = 31.34 : x
  2. Step 2: Convert to fraction form
    122.64/183.97 = 31.34/x
  3. Step 3: Cross multiply
    122.64x = 183.97 × 31.34
  4. Step 4: Simplify right side
    122.64x = 5,765.33
  5. Step 5: Solve for x
    x = 5,765.33/122.64
  6. Step 6: Final answer
    x = 47.01

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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.