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Finding the Fourth Proportional to 27.48, 41.32 and 20.28

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Solution

The fourth proportional to 27.48, 41.32 and 20.28 is: 30.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.48 : 41.32 = 20.28 : x
  2. Step 2: Convert to fraction form
    27.48/41.32 = 20.28/x
  3. Step 3: Cross multiply
    27.48x = 41.32 × 20.28
  4. Step 4: Simplify right side
    27.48x = 837.97
  5. Step 5: Solve for x
    x = 837.97/27.48
  6. Step 6: Final answer
    x = 30.49

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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.