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Finding the Fourth Proportional to 27.09, 37.54 and 25.77

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Solution

The fourth proportional to 27.09, 37.54 and 25.77 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.09 : 37.54 = 25.77 : x
  2. Step 2: Convert to fraction form
    27.09/37.54 = 25.77/x
  3. Step 3: Cross multiply
    27.09x = 37.54 × 25.77
  4. Step 4: Simplify right side
    27.09x = 967.41
  5. Step 5: Solve for x
    x = 967.41/27.09
  6. Step 6: Final answer
    x = 35.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.