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Finding the Fourth Proportional to 135.98, 187.89 and 107.09

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Solution

The fourth proportional to 135.98, 187.89 and 107.09 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 187.89 = 107.09 : x
  2. Step 2: Convert to fraction form
    135.98/187.89 = 107.09/x
  3. Step 3: Cross multiply
    135.98x = 187.89 × 107.09
  4. Step 4: Simplify right side
    135.98x = 20,121.14
  5. Step 5: Solve for x
    x = 20,121.14/135.98
  6. Step 6: Final answer
    x = 147.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.