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Finding the Fourth Proportional to 27.66, 38.13 and 21.84

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Solution

The fourth proportional to 27.66, 38.13 and 21.84 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 38.13 = 21.84 : x
  2. Step 2: Convert to fraction form
    27.66/38.13 = 21.84/x
  3. Step 3: Cross multiply
    27.66x = 38.13 × 21.84
  4. Step 4: Simplify right side
    27.66x = 832.76
  5. Step 5: Solve for x
    x = 832.76/27.66
  6. Step 6: Final answer
    x = 30.11

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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.