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Finding the Fourth Proportional to 27.14, 40.67 and 18.90

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Solution

The fourth proportional to 27.14, 40.67 and 18.90 is: 28.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.14 : 40.67 = 18.90 : x
  2. Step 2: Convert to fraction form
    27.14/40.67 = 18.90/x
  3. Step 3: Cross multiply
    27.14x = 40.67 × 18.90
  4. Step 4: Simplify right side
    27.14x = 768.57
  5. Step 5: Solve for x
    x = 768.57/27.14
  6. Step 6: Final answer
    x = 28.32

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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.