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Finding the Fourth Proportional to 110.19, 164.01 and 109.86

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Solution

The fourth proportional to 110.19, 164.01 and 109.86 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 164.01 = 109.86 : x
  2. Step 2: Convert to fraction form
    110.19/164.01 = 109.86/x
  3. Step 3: Cross multiply
    110.19x = 164.01 × 109.86
  4. Step 4: Simplify right side
    110.19x = 18,017.32
  5. Step 5: Solve for x
    x = 18,017.32/110.19
  6. Step 6: Final answer
    x = 163.51

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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.