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Finding the Fourth Proportional to 45.50, 68.25 and 31.97

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Solution

The fourth proportional to 45.50, 68.25 and 31.97 is: 47.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.50 : 68.25 = 31.97 : x
  2. Step 2: Convert to fraction form
    45.50/68.25 = 31.97/x
  3. Step 3: Cross multiply
    45.50x = 68.25 × 31.97
  4. Step 4: Simplify right side
    45.50x = 2,181.95
  5. Step 5: Solve for x
    x = 2,181.95/45.50
  6. Step 6: Final answer
    x = 47.96

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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.