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Finding the Fourth Proportional to 28.31, 42.54 and 27.63

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Solution

The fourth proportional to 28.31, 42.54 and 27.63 is: 41.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.31 : 42.54 = 27.63 : x
  2. Step 2: Convert to fraction form
    28.31/42.54 = 27.63/x
  3. Step 3: Cross multiply
    28.31x = 42.54 × 27.63
  4. Step 4: Simplify right side
    28.31x = 1,175.17
  5. Step 5: Solve for x
    x = 1,175.17/28.31
  6. Step 6: Final answer
    x = 41.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.