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Finding the Fourth Proportional to 15.71, 23.67 and 12.74

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Solution

The fourth proportional to 15.71, 23.67 and 12.74 is: 19.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.71 : 23.67 = 12.74 : x
  2. Step 2: Convert to fraction form
    15.71/23.67 = 12.74/x
  3. Step 3: Cross multiply
    15.71x = 23.67 × 12.74
  4. Step 4: Simplify right side
    15.71x = 301.44
  5. Step 5: Solve for x
    x = 301.44/15.71
  6. Step 6: Final answer
    x = 19.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.