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Finding the Fourth Proportional to 27.09, 40.57 and 23.27

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Solution

The fourth proportional to 27.09, 40.57 and 23.27 is: 34.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.09 : 40.57 = 23.27 : x
  2. Step 2: Convert to fraction form
    27.09/40.57 = 23.27/x
  3. Step 3: Cross multiply
    27.09x = 40.57 × 23.27
  4. Step 4: Simplify right side
    27.09x = 943.80
  5. Step 5: Solve for x
    x = 943.80/27.09
  6. Step 6: Final answer
    x = 34.84

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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.