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Finding the Fourth Proportional to 98.01, 134.91 and 82.30

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Solution

The fourth proportional to 98.01, 134.91 and 82.30 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 134.91 = 82.30 : x
  2. Step 2: Convert to fraction form
    98.01/134.91 = 82.30/x
  3. Step 3: Cross multiply
    98.01x = 134.91 × 82.30
  4. Step 4: Simplify right side
    98.01x = 11,102.42
  5. Step 5: Solve for x
    x = 11,102.42/98.01
  6. Step 6: Final answer
    x = 113.28

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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.