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Finding the Fourth Proportional to 37.27, 51.45 and 30.05

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Solution

The fourth proportional to 37.27, 51.45 and 30.05 is: 41.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.27 : 51.45 = 30.05 : x
  2. Step 2: Convert to fraction form
    37.27/51.45 = 30.05/x
  3. Step 3: Cross multiply
    37.27x = 51.45 × 30.05
  4. Step 4: Simplify right side
    37.27x = 1,546.07
  5. Step 5: Solve for x
    x = 1,546.07/37.27
  6. Step 6: Final answer
    x = 41.48

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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.