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Finding the Fourth Proportional to 31.82, 47.76 and 30.62

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Solution

The fourth proportional to 31.82, 47.76 and 30.62 is: 45.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.82 : 47.76 = 30.62 : x
  2. Step 2: Convert to fraction form
    31.82/47.76 = 30.62/x
  3. Step 3: Cross multiply
    31.82x = 47.76 × 30.62
  4. Step 4: Simplify right side
    31.82x = 1,462.41
  5. Step 5: Solve for x
    x = 1,462.41/31.82
  6. Step 6: Final answer
    x = 45.96

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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.