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Finding the Fourth Proportional to 110.06, 165.19 and 49.22

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Solution

The fourth proportional to 110.06, 165.19 and 49.22 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 165.19 = 49.22 : x
  2. Step 2: Convert to fraction form
    110.06/165.19 = 49.22/x
  3. Step 3: Cross multiply
    110.06x = 165.19 × 49.22
  4. Step 4: Simplify right side
    110.06x = 8,131.34
  5. Step 5: Solve for x
    x = 8,131.34/110.06
  6. Step 6: Final answer
    x = 73.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.