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Finding the Fourth Proportional to 110.06, 165.14 and 66.83

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Solution

The fourth proportional to 110.06, 165.14 and 66.83 is: 100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 165.14 = 66.83 : x
  2. Step 2: Convert to fraction form
    110.06/165.14 = 66.83/x
  3. Step 3: Cross multiply
    110.06x = 165.14 × 66.83
  4. Step 4: Simplify right side
    110.06x = 11,035.40
  5. Step 5: Solve for x
    x = 11,035.40/110.06
  6. Step 6: Final answer
    x = 100.27

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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.