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Finding the Fourth Proportional to 51.63, 71.24 and 31.96

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Solution

The fourth proportional to 51.63, 71.24 and 31.96 is: 44.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 71.24 = 31.96 : x
  2. Step 2: Convert to fraction form
    51.63/71.24 = 31.96/x
  3. Step 3: Cross multiply
    51.63x = 71.24 × 31.96
  4. Step 4: Simplify right side
    51.63x = 2,276.73
  5. Step 5: Solve for x
    x = 2,276.73/51.63
  6. Step 6: Final answer
    x = 44.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.