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Finding the Fourth Proportional to 31.31, 46.97 and 13.28

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Solution

The fourth proportional to 31.31, 46.97 and 13.28 is: 19.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 46.97 = 13.28 : x
  2. Step 2: Convert to fraction form
    31.31/46.97 = 13.28/x
  3. Step 3: Cross multiply
    31.31x = 46.97 × 13.28
  4. Step 4: Simplify right side
    31.31x = 623.53
  5. Step 5: Solve for x
    x = 623.53/31.31
  6. Step 6: Final answer
    x = 19.92

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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.