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Finding the Fourth Proportional to 110.22, 164.61 and 100.50

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Solution

The fourth proportional to 110.22, 164.61 and 100.50 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 164.61 = 100.50 : x
  2. Step 2: Convert to fraction form
    110.22/164.61 = 100.50/x
  3. Step 3: Cross multiply
    110.22x = 164.61 × 100.50
  4. Step 4: Simplify right side
    110.22x = 16,543.31
  5. Step 5: Solve for x
    x = 16,543.31/110.22
  6. Step 6: Final answer
    x = 150.09

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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.