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Finding the Fourth Proportional to 20.71, 30.99 and 18.14

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Solution

The fourth proportional to 20.71, 30.99 and 18.14 is: 27.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.71 : 30.99 = 18.14 : x
  2. Step 2: Convert to fraction form
    20.71/30.99 = 18.14/x
  3. Step 3: Cross multiply
    20.71x = 30.99 × 18.14
  4. Step 4: Simplify right side
    20.71x = 562.24
  5. Step 5: Solve for x
    x = 562.24/20.71
  6. Step 6: Final answer
    x = 27.15

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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.