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Finding the Fourth Proportional to 27.67, 37.66 and 27.40

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Solution

The fourth proportional to 27.67, 37.66 and 27.40 is: 37.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.67 : 37.66 = 27.40 : x
  2. Step 2: Convert to fraction form
    27.67/37.66 = 27.40/x
  3. Step 3: Cross multiply
    27.67x = 37.66 × 27.40
  4. Step 4: Simplify right side
    27.67x = 1,031.88
  5. Step 5: Solve for x
    x = 1,031.88/27.67
  6. Step 6: Final answer
    x = 37.29

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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.