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Finding the Fourth Proportional to 98.54, 136.09 and 78.04

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Solution

The fourth proportional to 98.54, 136.09 and 78.04 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.54 : 136.09 = 78.04 : x
  2. Step 2: Convert to fraction form
    98.54/136.09 = 78.04/x
  3. Step 3: Cross multiply
    98.54x = 136.09 × 78.04
  4. Step 4: Simplify right side
    98.54x = 10,620.46
  5. Step 5: Solve for x
    x = 10,620.46/98.54
  6. Step 6: Final answer
    x = 107.78

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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.