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Finding the Fourth Proportional to 28.32, 38.88 and 27.36

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Solution

The fourth proportional to 28.32, 38.88 and 27.36 is: 37.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.32 : 38.88 = 27.36 : x
  2. Step 2: Convert to fraction form
    28.32/38.88 = 27.36/x
  3. Step 3: Cross multiply
    28.32x = 38.88 × 27.36
  4. Step 4: Simplify right side
    28.32x = 1,063.76
  5. Step 5: Solve for x
    x = 1,063.76/28.32
  6. Step 6: Final answer
    x = 37.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.