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Finding the Fourth Proportional to 110.27, 165.43 and 64.63

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Solution

The fourth proportional to 110.27, 165.43 and 64.63 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 165.43 = 64.63 : x
  2. Step 2: Convert to fraction form
    110.27/165.43 = 64.63/x
  3. Step 3: Cross multiply
    110.27x = 165.43 × 64.63
  4. Step 4: Simplify right side
    110.27x = 10,691.74
  5. Step 5: Solve for x
    x = 10,691.74/110.27
  6. Step 6: Final answer
    x = 96.96

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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.