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Finding the Fourth Proportional to 110.39, 164.66 and 96.08

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Solution

The fourth proportional to 110.39, 164.66 and 96.08 is: 143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.39 : 164.66 = 96.08 : x
  2. Step 2: Convert to fraction form
    110.39/164.66 = 96.08/x
  3. Step 3: Cross multiply
    110.39x = 164.66 × 96.08
  4. Step 4: Simplify right side
    110.39x = 15,819.23
  5. Step 5: Solve for x
    x = 15,819.23/110.39
  6. Step 6: Final answer
    x = 143.31

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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.