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Finding the Fourth Proportional to 110.38, 164.41 and 110.17

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Solution

The fourth proportional to 110.38, 164.41 and 110.17 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 164.41 = 110.17 : x
  2. Step 2: Convert to fraction form
    110.38/164.41 = 110.17/x
  3. Step 3: Cross multiply
    110.38x = 164.41 × 110.17
  4. Step 4: Simplify right side
    110.38x = 18,113.05
  5. Step 5: Solve for x
    x = 18,113.05/110.38
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.