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Finding the Fourth Proportional to 110.81, 165.96 and 65.20

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Solution

The fourth proportional to 110.81, 165.96 and 65.20 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 165.96 = 65.20 : x
  2. Step 2: Convert to fraction form
    110.81/165.96 = 65.20/x
  3. Step 3: Cross multiply
    110.81x = 165.96 × 65.20
  4. Step 4: Simplify right side
    110.81x = 10,820.59
  5. Step 5: Solve for x
    x = 10,820.59/110.81
  6. Step 6: Final answer
    x = 97.65

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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.