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Finding the Fourth Proportional to 110.69, 165.96 and 83.25

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Solution

The fourth proportional to 110.69, 165.96 and 83.25 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.69 : 165.96 = 83.25 : x
  2. Step 2: Convert to fraction form
    110.69/165.96 = 83.25/x
  3. Step 3: Cross multiply
    110.69x = 165.96 × 83.25
  4. Step 4: Simplify right side
    110.69x = 13,816.17
  5. Step 5: Solve for x
    x = 13,816.17/110.69
  6. Step 6: Final answer
    x = 124.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.