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Finding the Fourth Proportional to 110.16, 164.83 and 66.08

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Solution

The fourth proportional to 110.16, 164.83 and 66.08 is: 98.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 164.83 = 66.08 : x
  2. Step 2: Convert to fraction form
    110.16/164.83 = 66.08/x
  3. Step 3: Cross multiply
    110.16x = 164.83 × 66.08
  4. Step 4: Simplify right side
    110.16x = 10,891.97
  5. Step 5: Solve for x
    x = 10,891.97/110.16
  6. Step 6: Final answer
    x = 98.87

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Why These Related Problems?

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