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Finding the Fourth Proportional to 110.36, 164.76 and 98.21

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Solution

The fourth proportional to 110.36, 164.76 and 98.21 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 164.76 = 98.21 : x
  2. Step 2: Convert to fraction form
    110.36/164.76 = 98.21/x
  3. Step 3: Cross multiply
    110.36x = 164.76 × 98.21
  4. Step 4: Simplify right side
    110.36x = 16,180.59
  5. Step 5: Solve for x
    x = 16,180.59/110.36
  6. Step 6: Final answer
    x = 146.62

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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.