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Finding the Fourth Proportional to 110.80, 165.84 and 83.65

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Solution

The fourth proportional to 110.80, 165.84 and 83.65 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 165.84 = 83.65 : x
  2. Step 2: Convert to fraction form
    110.80/165.84 = 83.65/x
  3. Step 3: Cross multiply
    110.80x = 165.84 × 83.65
  4. Step 4: Simplify right side
    110.80x = 13,872.52
  5. Step 5: Solve for x
    x = 13,872.52/110.80
  6. Step 6: Final answer
    x = 125.20

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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.