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Finding the Fourth Proportional to 110.44, 164.75 and 98.29

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Solution

The fourth proportional to 110.44, 164.75 and 98.29 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 164.75 = 98.29 : x
  2. Step 2: Convert to fraction form
    110.44/164.75 = 98.29/x
  3. Step 3: Cross multiply
    110.44x = 164.75 × 98.29
  4. Step 4: Simplify right side
    110.44x = 16,193.28
  5. Step 5: Solve for x
    x = 16,193.28/110.44
  6. Step 6: Final answer
    x = 146.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.