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Finding the Fourth Proportional to 110.36, 164.66 and 107.07

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Solution

The fourth proportional to 110.36, 164.66 and 107.07 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 164.66 = 107.07 : x
  2. Step 2: Convert to fraction form
    110.36/164.66 = 107.07/x
  3. Step 3: Cross multiply
    110.36x = 164.66 × 107.07
  4. Step 4: Simplify right side
    110.36x = 17,629.61
  5. Step 5: Solve for x
    x = 17,629.61/110.36
  6. Step 6: Final answer
    x = 159.75

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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.