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Finding the Fourth Proportional to 110.23, 164.42 and 106.81

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Solution

The fourth proportional to 110.23, 164.42 and 106.81 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.23 : 164.42 = 106.81 : x
  2. Step 2: Convert to fraction form
    110.23/164.42 = 106.81/x
  3. Step 3: Cross multiply
    110.23x = 164.42 × 106.81
  4. Step 4: Simplify right side
    110.23x = 17,561.70
  5. Step 5: Solve for x
    x = 17,561.70/110.23
  6. Step 6: Final answer
    x = 159.32

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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.