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Finding the Fourth Proportional to 110.46, 165.64 and 64.83

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Solution

The fourth proportional to 110.46, 165.64 and 64.83 is: 97.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.46 : 165.64 = 64.83 : x
  2. Step 2: Convert to fraction form
    110.46/165.64 = 64.83/x
  3. Step 3: Cross multiply
    110.46x = 165.64 × 64.83
  4. Step 4: Simplify right side
    110.46x = 10,738.44
  5. Step 5: Solve for x
    x = 10,738.44/110.46
  6. Step 6: Final answer
    x = 97.22

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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.