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Finding the Fourth Proportional to 110.24, 164.50 and 108.56

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Solution

The fourth proportional to 110.24, 164.50 and 108.56 is: 161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.24 : 164.50 = 108.56 : x
  2. Step 2: Convert to fraction form
    110.24/164.50 = 108.56/x
  3. Step 3: Cross multiply
    110.24x = 164.50 × 108.56
  4. Step 4: Simplify right side
    110.24x = 17,858.12
  5. Step 5: Solve for x
    x = 17,858.12/110.24
  6. Step 6: Final answer
    x = 161.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.