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Finding the Fourth Proportional to 27.32, 37.88 and 26.78

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Solution

The fourth proportional to 27.32, 37.88 and 26.78 is: 37.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 37.88 = 26.78 : x
  2. Step 2: Convert to fraction form
    27.32/37.88 = 26.78/x
  3. Step 3: Cross multiply
    27.32x = 37.88 × 26.78
  4. Step 4: Simplify right side
    27.32x = 1,014.43
  5. Step 5: Solve for x
    x = 1,014.43/27.32
  6. Step 6: Final answer
    x = 37.13

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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.