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Finding the Fourth Proportional to 98.62, 147.96 and 37.78

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Solution

The fourth proportional to 98.62, 147.96 and 37.78 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.62 : 147.96 = 37.78 : x
  2. Step 2: Convert to fraction form
    98.62/147.96 = 37.78/x
  3. Step 3: Cross multiply
    98.62x = 147.96 × 37.78
  4. Step 4: Simplify right side
    98.62x = 5,589.56
  5. Step 5: Solve for x
    x = 5,589.56/98.62
  6. Step 6: Final answer
    x = 56.68

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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.