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Finding the Fourth Proportional to 110.13, 165.26 and 105

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Solution

The fourth proportional to 110.13, 165.26 and 105 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 165.26 = 105 : x
  2. Step 2: Convert to fraction form
    110.13/165.26 = 105/x
  3. Step 3: Cross multiply
    110.13x = 165.26 × 105
  4. Step 4: Simplify right side
    110.13x = 17,351.78
  5. Step 5: Solve for x
    x = 17,351.78/110.13
  6. Step 6: Final answer
    x = 157.56

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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.