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Finding the Fourth Proportional to 110.24, 164.51 and 98.09

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Solution

The fourth proportional to 110.24, 164.51 and 98.09 is: 146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.24 : 164.51 = 98.09 : x
  2. Step 2: Convert to fraction form
    110.24/164.51 = 98.09/x
  3. Step 3: Cross multiply
    110.24x = 164.51 × 98.09
  4. Step 4: Simplify right side
    110.24x = 16,136.21
  5. Step 5: Solve for x
    x = 16,136.21/110.24
  6. Step 6: Final answer
    x = 146.38

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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.