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Finding the Fourth Proportional to 110.55, 164.81 and 105.69

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Solution

The fourth proportional to 110.55, 164.81 and 105.69 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.55 : 164.81 = 105.69 : x
  2. Step 2: Convert to fraction form
    110.55/164.81 = 105.69/x
  3. Step 3: Cross multiply
    110.55x = 164.81 × 105.69
  4. Step 4: Simplify right side
    110.55x = 17,418.24
  5. Step 5: Solve for x
    x = 17,418.24/110.55
  6. Step 6: Final answer
    x = 157.56

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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.