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Finding the Fourth Proportional to 110.52, 164.34 and 109.98

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Solution

The fourth proportional to 110.52, 164.34 and 109.98 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.52 : 164.34 = 109.98 : x
  2. Step 2: Convert to fraction form
    110.52/164.34 = 109.98/x
  3. Step 3: Cross multiply
    110.52x = 164.34 × 109.98
  4. Step 4: Simplify right side
    110.52x = 18,074.11
  5. Step 5: Solve for x
    x = 18,074.11/110.52
  6. Step 6: Final answer
    x = 163.54

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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.