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Finding the Fourth Proportional to 28.16, 38.82 and 27.24

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Solution

The fourth proportional to 28.16, 38.82 and 27.24 is: 37.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.16 : 38.82 = 27.24 : x
  2. Step 2: Convert to fraction form
    28.16/38.82 = 27.24/x
  3. Step 3: Cross multiply
    28.16x = 38.82 × 27.24
  4. Step 4: Simplify right side
    28.16x = 1,057.46
  5. Step 5: Solve for x
    x = 1,057.46/28.16
  6. Step 6: Final answer
    x = 37.56

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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.