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Finding the Fourth Proportional to 98.24, 135.45 and 80.69

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Solution

The fourth proportional to 98.24, 135.45 and 80.69 is: 111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.45 = 80.69 : x
  2. Step 2: Convert to fraction form
    98.24/135.45 = 80.69/x
  3. Step 3: Cross multiply
    98.24x = 135.45 × 80.69
  4. Step 4: Simplify right side
    98.24x = 10,928.78
  5. Step 5: Solve for x
    x = 10,928.78/98.24
  6. Step 6: Final answer
    x = 111.25

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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.