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Finding the Fourth Proportional to 110.92, 165.23 and 109.48

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Solution

The fourth proportional to 110.92, 165.23 and 109.48 is: 163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.92 : 165.23 = 109.48 : x
  2. Step 2: Convert to fraction form
    110.92/165.23 = 109.48/x
  3. Step 3: Cross multiply
    110.92x = 165.23 × 109.48
  4. Step 4: Simplify right side
    110.92x = 18,089.38
  5. Step 5: Solve for x
    x = 18,089.38/110.92
  6. Step 6: Final answer
    x = 163.08

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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.