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Finding the Fourth Proportional to 98.42, 135.72 and 82.04

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Solution

The fourth proportional to 98.42, 135.72 and 82.04 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 135.72 = 82.04 : x
  2. Step 2: Convert to fraction form
    98.42/135.72 = 82.04/x
  3. Step 3: Cross multiply
    98.42x = 135.72 × 82.04
  4. Step 4: Simplify right side
    98.42x = 11,134.47
  5. Step 5: Solve for x
    x = 11,134.47/98.42
  6. Step 6: Final answer
    x = 113.13

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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.