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Finding the Fourth Proportional to 31.97, 47.62 and 30.83

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Solution

The fourth proportional to 31.97, 47.62 and 30.83 is: 45.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 47.62 = 30.83 : x
  2. Step 2: Convert to fraction form
    31.97/47.62 = 30.83/x
  3. Step 3: Cross multiply
    31.97x = 47.62 × 30.83
  4. Step 4: Simplify right side
    31.97x = 1,468.12
  5. Step 5: Solve for x
    x = 1,468.12/31.97
  6. Step 6: Final answer
    x = 45.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.