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Finding the Fourth Proportional to 110.31, 165.05 and 83.04

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Solution

The fourth proportional to 110.31, 165.05 and 83.04 is: 124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.31 : 165.05 = 83.04 : x
  2. Step 2: Convert to fraction form
    110.31/165.05 = 83.04/x
  3. Step 3: Cross multiply
    110.31x = 165.05 × 83.04
  4. Step 4: Simplify right side
    110.31x = 13,705.75
  5. Step 5: Solve for x
    x = 13,705.75/110.31
  6. Step 6: Final answer
    x = 124.25

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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.