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Finding the Fourth Proportional to 110.91, 165.20 and 110.31

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Solution

The fourth proportional to 110.91, 165.20 and 110.31 is: 164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.91 : 165.20 = 110.31 : x
  2. Step 2: Convert to fraction form
    110.91/165.20 = 110.31/x
  3. Step 3: Cross multiply
    110.91x = 165.20 × 110.31
  4. Step 4: Simplify right side
    110.91x = 18,222.66
  5. Step 5: Solve for x
    x = 18,222.66/110.91
  6. Step 6: Final answer
    x = 164.30

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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.