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Finding the Fourth Proportional to 27.76, 38.19 and 27.04

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Solution

The fourth proportional to 27.76, 38.19 and 27.04 is: 37.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.76 : 38.19 = 27.04 : x
  2. Step 2: Convert to fraction form
    27.76/38.19 = 27.04/x
  3. Step 3: Cross multiply
    27.76x = 38.19 × 27.04
  4. Step 4: Simplify right side
    27.76x = 1,032.66
  5. Step 5: Solve for x
    x = 1,032.66/27.76
  6. Step 6: Final answer
    x = 37.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.