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Finding the Fourth Proportional to 110.72, 164.92 and 109.52

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Solution

The fourth proportional to 110.72, 164.92 and 109.52 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 164.92 = 109.52 : x
  2. Step 2: Convert to fraction form
    110.72/164.92 = 109.52/x
  3. Step 3: Cross multiply
    110.72x = 164.92 × 109.52
  4. Step 4: Simplify right side
    110.72x = 18,062.04
  5. Step 5: Solve for x
    x = 18,062.04/110.72
  6. Step 6: Final answer
    x = 163.13

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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.