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Finding the Fourth Proportional to 19.73, 29.64 and 12.14

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Solution

The fourth proportional to 19.73, 29.64 and 12.14 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.73 : 29.64 = 12.14 : x
  2. Step 2: Convert to fraction form
    19.73/29.64 = 12.14/x
  3. Step 3: Cross multiply
    19.73x = 29.64 × 12.14
  4. Step 4: Simplify right side
    19.73x = 359.68
  5. Step 5: Solve for x
    x = 359.68/19.73
  6. Step 6: Final answer
    x = 18.23

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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.