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Finding the Fourth Proportional to 110.34, 164.44 and 104.46

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Solution

The fourth proportional to 110.34, 164.44 and 104.46 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 164.44 = 104.46 : x
  2. Step 2: Convert to fraction form
    110.34/164.44 = 104.46/x
  3. Step 3: Cross multiply
    110.34x = 164.44 × 104.46
  4. Step 4: Simplify right side
    110.34x = 17,177.40
  5. Step 5: Solve for x
    x = 17,177.40/110.34
  6. Step 6: Final answer
    x = 155.68

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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.