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Finding the Fourth Proportional to 37.56, 51.78 and 30.20

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Solution

The fourth proportional to 37.56, 51.78 and 30.20 is: 41.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.56 : 51.78 = 30.20 : x
  2. Step 2: Convert to fraction form
    37.56/51.78 = 30.20/x
  3. Step 3: Cross multiply
    37.56x = 51.78 × 30.20
  4. Step 4: Simplify right side
    37.56x = 1,563.76
  5. Step 5: Solve for x
    x = 1,563.76/37.56
  6. Step 6: Final answer
    x = 41.63

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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.