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Finding the Fourth Proportional to 27.21, 41.02 and 24.31

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Solution

The fourth proportional to 27.21, 41.02 and 24.31 is: 36.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 41.02 = 24.31 : x
  2. Step 2: Convert to fraction form
    27.21/41.02 = 24.31/x
  3. Step 3: Cross multiply
    27.21x = 41.02 × 24.31
  4. Step 4: Simplify right side
    27.21x = 997.20
  5. Step 5: Solve for x
    x = 997.20/27.21
  6. Step 6: Final answer
    x = 36.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.