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Finding the Fourth Proportional to 37.40, 51.60 and 27.74

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Solution

The fourth proportional to 37.40, 51.60 and 27.74 is: 38.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.40 : 51.60 = 27.74 : x
  2. Step 2: Convert to fraction form
    37.40/51.60 = 27.74/x
  3. Step 3: Cross multiply
    37.40x = 51.60 × 27.74
  4. Step 4: Simplify right side
    37.40x = 1,431.38
  5. Step 5: Solve for x
    x = 1,431.38/37.40
  6. Step 6: Final answer
    x = 38.27

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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.