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Finding the Fourth Proportional to 110.36, 165.19 and 64.56

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Solution

The fourth proportional to 110.36, 165.19 and 64.56 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 165.19 = 64.56 : x
  2. Step 2: Convert to fraction form
    110.36/165.19 = 64.56/x
  3. Step 3: Cross multiply
    110.36x = 165.19 × 64.56
  4. Step 4: Simplify right side
    110.36x = 10,665.25
  5. Step 5: Solve for x
    x = 10,665.25/110.36
  6. Step 6: Final answer
    x = 96.64

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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.