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Finding the Fourth Proportional to 110.06, 164.47 and 96.39

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Solution

The fourth proportional to 110.06, 164.47 and 96.39 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 164.47 = 96.39 : x
  2. Step 2: Convert to fraction form
    110.06/164.47 = 96.39/x
  3. Step 3: Cross multiply
    110.06x = 164.47 × 96.39
  4. Step 4: Simplify right side
    110.06x = 15,852.44
  5. Step 5: Solve for x
    x = 15,852.44/110.06
  6. Step 6: Final answer
    x = 144.04

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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.