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Finding the Fourth Proportional to 98.10, 147.09 and 33.96

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Solution

The fourth proportional to 98.10, 147.09 and 33.96 is: 50.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 147.09 = 33.96 : x
  2. Step 2: Convert to fraction form
    98.10/147.09 = 33.96/x
  3. Step 3: Cross multiply
    98.10x = 147.09 × 33.96
  4. Step 4: Simplify right side
    98.10x = 4,995.18
  5. Step 5: Solve for x
    x = 4,995.18/98.10
  6. Step 6: Final answer
    x = 50.92

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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.