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Finding the Fourth Proportional to 46.73, 69.96 and 31.46

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Solution

The fourth proportional to 46.73, 69.96 and 31.46 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.73 : 69.96 = 31.46 : x
  2. Step 2: Convert to fraction form
    46.73/69.96 = 31.46/x
  3. Step 3: Cross multiply
    46.73x = 69.96 × 31.46
  4. Step 4: Simplify right side
    46.73x = 2,200.59
  5. Step 5: Solve for x
    x = 2,200.59/46.73
  6. Step 6: Final answer
    x = 47.10

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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.