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Finding the Fourth Proportional to 98.97, 148.44 and 33.98

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Solution

The fourth proportional to 98.97, 148.44 and 33.98 is: 50.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 148.44 = 33.98 : x
  2. Step 2: Convert to fraction form
    98.97/148.44 = 33.98/x
  3. Step 3: Cross multiply
    98.97x = 148.44 × 33.98
  4. Step 4: Simplify right side
    98.97x = 5,043.99
  5. Step 5: Solve for x
    x = 5,043.99/98.97
  6. Step 6: Final answer
    x = 50.96

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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.