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Finding the Fourth Proportional to 37.62, 56.31 and 35.54

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Solution

The fourth proportional to 37.62, 56.31 and 35.54 is: 53.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 56.31 = 35.54 : x
  2. Step 2: Convert to fraction form
    37.62/56.31 = 35.54/x
  3. Step 3: Cross multiply
    37.62x = 56.31 × 35.54
  4. Step 4: Simplify right side
    37.62x = 2,000.98
  5. Step 5: Solve for x
    x = 2,000.98/37.62
  6. Step 6: Final answer
    x = 53.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.