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Finding the Fourth Proportional to 34.22, 51.41 and 19.98

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Solution

The fourth proportional to 34.22, 51.41 and 19.98 is: 30.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.22 : 51.41 = 19.98 : x
  2. Step 2: Convert to fraction form
    34.22/51.41 = 19.98/x
  3. Step 3: Cross multiply
    34.22x = 51.41 × 19.98
  4. Step 4: Simplify right side
    34.22x = 1,027.17
  5. Step 5: Solve for x
    x = 1,027.17/34.22
  6. Step 6: Final answer
    x = 30.02

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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.