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Finding the Fourth Proportional to 110.14, 165.26 and 66.81

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Solution

The fourth proportional to 110.14, 165.26 and 66.81 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 165.26 = 66.81 : x
  2. Step 2: Convert to fraction form
    110.14/165.26 = 66.81/x
  3. Step 3: Cross multiply
    110.14x = 165.26 × 66.81
  4. Step 4: Simplify right side
    110.14x = 11,039.86
  5. Step 5: Solve for x
    x = 11,039.86/110.14
  6. Step 6: Final answer
    x = 100.23

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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.