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Finding the Fourth Proportional to 31.14, 46.70 and 13.09

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Solution

The fourth proportional to 31.14, 46.70 and 13.09 is: 19.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.14 : 46.70 = 13.09 : x
  2. Step 2: Convert to fraction form
    31.14/46.70 = 13.09/x
  3. Step 3: Cross multiply
    31.14x = 46.70 × 13.09
  4. Step 4: Simplify right side
    31.14x = 611.07
  5. Step 5: Solve for x
    x = 611.07/31.14
  6. Step 6: Final answer
    x = 19.63

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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.