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Finding the Fourth Proportional to 27.72, 41.10 and 27.30

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Solution

The fourth proportional to 27.72, 41.10 and 27.30 is: 40.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 41.10 = 27.30 : x
  2. Step 2: Convert to fraction form
    27.72/41.10 = 27.30/x
  3. Step 3: Cross multiply
    27.72x = 41.10 × 27.30
  4. Step 4: Simplify right side
    27.72x = 1,122.03
  5. Step 5: Solve for x
    x = 1,122.03/27.72
  6. Step 6: Final answer
    x = 40.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.