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Finding the Fourth Proportional to 3.59, 4.96 and 1.98

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Solution

The fourth proportional to 3.59, 4.96 and 1.98 is: 2.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.59 : 4.96 = 1.98 : x
  2. Step 2: Convert to fraction form
    3.59/4.96 = 1.98/x
  3. Step 3: Cross multiply
    3.59x = 4.96 × 1.98
  4. Step 4: Simplify right side
    3.59x = 9.80
  5. Step 5: Solve for x
    x = 9.80/3.59
  6. Step 6: Final answer
    x = 2.73

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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.