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Finding the Fourth Proportional to 98.20, 146.94 and 80.98

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Solution

The fourth proportional to 98.20, 146.94 and 80.98 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 146.94 = 80.98 : x
  2. Step 2: Convert to fraction form
    98.20/146.94 = 80.98/x
  3. Step 3: Cross multiply
    98.20x = 146.94 × 80.98
  4. Step 4: Simplify right side
    98.20x = 11,899.20
  5. Step 5: Solve for x
    x = 11,899.20/98.20
  6. Step 6: Final answer
    x = 121.17

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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.