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Finding the Fourth Proportional to 104.25, 144.54 and 98.04

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Solution

The fourth proportional to 104.25, 144.54 and 98.04 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.25 : 144.54 = 98.04 : x
  2. Step 2: Convert to fraction form
    104.25/144.54 = 98.04/x
  3. Step 3: Cross multiply
    104.25x = 144.54 × 98.04
  4. Step 4: Simplify right side
    104.25x = 14,170.21
  5. Step 5: Solve for x
    x = 14,170.21/104.25
  6. Step 6: Final answer
    x = 135.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.