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Finding the Fourth Proportional to 28.52, 42.55 and 27.74

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Solution

The fourth proportional to 28.52, 42.55 and 27.74 is: 41.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.52 : 42.55 = 27.74 : x
  2. Step 2: Convert to fraction form
    28.52/42.55 = 27.74/x
  3. Step 3: Cross multiply
    28.52x = 42.55 × 27.74
  4. Step 4: Simplify right side
    28.52x = 1,180.34
  5. Step 5: Solve for x
    x = 1,180.34/28.52
  6. Step 6: Final answer
    x = 41.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.