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Finding the Fourth Proportional to 27.02, 37.22 and 23.11

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Solution

The fourth proportional to 27.02, 37.22 and 23.11 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 37.22 = 23.11 : x
  2. Step 2: Convert to fraction form
    27.02/37.22 = 23.11/x
  3. Step 3: Cross multiply
    27.02x = 37.22 × 23.11
  4. Step 4: Simplify right side
    27.02x = 859.95
  5. Step 5: Solve for x
    x = 859.95/27.02
  6. Step 6: Final answer
    x = 31.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.