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Finding the Fourth Proportional to 110.80, 165.81 and 76.33

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Solution

The fourth proportional to 110.80, 165.81 and 76.33 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 165.81 = 76.33 : x
  2. Step 2: Convert to fraction form
    110.80/165.81 = 76.33/x
  3. Step 3: Cross multiply
    110.80x = 165.81 × 76.33
  4. Step 4: Simplify right side
    110.80x = 12,656.28
  5. Step 5: Solve for x
    x = 12,656.28/110.80
  6. Step 6: Final answer
    x = 114.23

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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.