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Finding the Fourth Proportional to 27.93, 38.04 and 27.78

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Solution

The fourth proportional to 27.93, 38.04 and 27.78 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.93 : 38.04 = 27.78 : x
  2. Step 2: Convert to fraction form
    27.93/38.04 = 27.78/x
  3. Step 3: Cross multiply
    27.93x = 38.04 × 27.78
  4. Step 4: Simplify right side
    27.93x = 1,056.75
  5. Step 5: Solve for x
    x = 1,056.75/27.93
  6. Step 6: Final answer
    x = 37.84

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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.