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Finding the Fourth Proportional to 27.12, 40.62 and 20.34

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Solution

The fourth proportional to 27.12, 40.62 and 20.34 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 40.62 = 20.34 : x
  2. Step 2: Convert to fraction form
    27.12/40.62 = 20.34/x
  3. Step 3: Cross multiply
    27.12x = 40.62 × 20.34
  4. Step 4: Simplify right side
    27.12x = 826.21
  5. Step 5: Solve for x
    x = 826.21/27.12
  6. Step 6: Final answer
    x = 30.47

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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.