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Finding the Fourth Proportional to 27.24, 40.78 and 20.46

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Solution

The fourth proportional to 27.24, 40.78 and 20.46 is: 30.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.24 : 40.78 = 20.46 : x
  2. Step 2: Convert to fraction form
    27.24/40.78 = 20.46/x
  3. Step 3: Cross multiply
    27.24x = 40.78 × 20.46
  4. Step 4: Simplify right side
    27.24x = 834.05
  5. Step 5: Solve for x
    x = 834.05/27.24
  6. Step 6: Final answer
    x = 30.62

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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.