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Finding the Fourth Proportional to 110.49, 164.89 and 98.34

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Solution

The fourth proportional to 110.49, 164.89 and 98.34 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.49 : 164.89 = 98.34 : x
  2. Step 2: Convert to fraction form
    110.49/164.89 = 98.34/x
  3. Step 3: Cross multiply
    110.49x = 164.89 × 98.34
  4. Step 4: Simplify right side
    110.49x = 16,215.28
  5. Step 5: Solve for x
    x = 16,215.28/110.49
  6. Step 6: Final answer
    x = 146.76

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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.