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Finding the Fourth Proportional to 110.09, 164.20 and 96.47

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Solution

The fourth proportional to 110.09, 164.20 and 96.47 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 164.20 = 96.47 : x
  2. Step 2: Convert to fraction form
    110.09/164.20 = 96.47/x
  3. Step 3: Cross multiply
    110.09x = 164.20 × 96.47
  4. Step 4: Simplify right side
    110.09x = 15,840.37
  5. Step 5: Solve for x
    x = 15,840.37/110.09
  6. Step 6: Final answer
    x = 143.89

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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.