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Finding the Fourth Proportional to 27.72, 37.80 and 26.82

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Solution

The fourth proportional to 27.72, 37.80 and 26.82 is: 36.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 37.80 = 26.82 : x
  2. Step 2: Convert to fraction form
    27.72/37.80 = 26.82/x
  3. Step 3: Cross multiply
    27.72x = 37.80 × 26.82
  4. Step 4: Simplify right side
    27.72x = 1,013.80
  5. Step 5: Solve for x
    x = 1,013.80/27.72
  6. Step 6: Final answer
    x = 36.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.