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Finding the Fourth Proportional to 98.44, 135.56 and 80.06

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Solution

The fourth proportional to 98.44, 135.56 and 80.06 is: 110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 135.56 = 80.06 : x
  2. Step 2: Convert to fraction form
    98.44/135.56 = 80.06/x
  3. Step 3: Cross multiply
    98.44x = 135.56 × 80.06
  4. Step 4: Simplify right side
    98.44x = 10,852.93
  5. Step 5: Solve for x
    x = 10,852.93/98.44
  6. Step 6: Final answer
    x = 110.25

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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.