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Finding the Fourth Proportional to 122.84, 184.27 and 31.54

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Solution

The fourth proportional to 122.84, 184.27 and 31.54 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 184.27 = 31.54 : x
  2. Step 2: Convert to fraction form
    122.84/184.27 = 31.54/x
  3. Step 3: Cross multiply
    122.84x = 184.27 × 31.54
  4. Step 4: Simplify right side
    122.84x = 5,811.25
  5. Step 5: Solve for x
    x = 5,811.25/122.84
  6. Step 6: Final answer
    x = 47.31

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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.