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Finding the Fourth Proportional to 28.46, 42.46 and 27.74

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Solution

The fourth proportional to 28.46, 42.46 and 27.74 is: 41.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.46 : 42.46 = 27.74 : x
  2. Step 2: Convert to fraction form
    28.46/42.46 = 27.74/x
  3. Step 3: Cross multiply
    28.46x = 42.46 × 27.74
  4. Step 4: Simplify right side
    28.46x = 1,177.70
  5. Step 5: Solve for x
    x = 1,177.70/28.46
  6. Step 6: Final answer
    x = 41.38

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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.