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Finding the Fourth Proportional to 27.89, 37.99 and 27.82

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Solution

The fourth proportional to 27.89, 37.99 and 27.82 is: 37.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.89 : 37.99 = 27.82 : x
  2. Step 2: Convert to fraction form
    27.89/37.99 = 27.82/x
  3. Step 3: Cross multiply
    27.89x = 37.99 × 27.82
  4. Step 4: Simplify right side
    27.89x = 1,056.94
  5. Step 5: Solve for x
    x = 1,056.94/27.89
  6. Step 6: Final answer
    x = 37.89

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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.