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Finding the Fourth Proportional to 122.78, 184.16 and 31.47

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Solution

The fourth proportional to 122.78, 184.16 and 31.47 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 184.16 = 31.47 : x
  2. Step 2: Convert to fraction form
    122.78/184.16 = 31.47/x
  3. Step 3: Cross multiply
    122.78x = 184.16 × 31.47
  4. Step 4: Simplify right side
    122.78x = 5,795.85
  5. Step 5: Solve for x
    x = 5,795.85/122.78
  6. Step 6: Final answer
    x = 47.21

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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.