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Finding the Fourth Proportional to 110.91, 165.89 and 100.26

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Solution

The fourth proportional to 110.91, 165.89 and 100.26 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.91 : 165.89 = 100.26 : x
  2. Step 2: Convert to fraction form
    110.91/165.89 = 100.26/x
  3. Step 3: Cross multiply
    110.91x = 165.89 × 100.26
  4. Step 4: Simplify right side
    110.91x = 16,631.63
  5. Step 5: Solve for x
    x = 16,631.63/110.91
  6. Step 6: Final answer
    x = 149.96

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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.