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Finding the Fourth Proportional to 133.14, 198.69 and 110.36

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Solution

The fourth proportional to 133.14, 198.69 and 110.36 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.14 : 198.69 = 110.36 : x
  2. Step 2: Convert to fraction form
    133.14/198.69 = 110.36/x
  3. Step 3: Cross multiply
    133.14x = 198.69 × 110.36
  4. Step 4: Simplify right side
    133.14x = 21,927.51
  5. Step 5: Solve for x
    x = 21,927.51/133.14
  6. Step 6: Final answer
    x = 164.69

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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.