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Finding the Fourth Proportional to 27.72, 41.49 and 24.12

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Solution

The fourth proportional to 27.72, 41.49 and 24.12 is: 36.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 41.49 = 24.12 : x
  2. Step 2: Convert to fraction form
    27.72/41.49 = 24.12/x
  3. Step 3: Cross multiply
    27.72x = 41.49 × 24.12
  4. Step 4: Simplify right side
    27.72x = 1,000.74
  5. Step 5: Solve for x
    x = 1,000.74/27.72
  6. Step 6: Final answer
    x = 36.10

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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.