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Finding the Fourth Proportional to 137.09, 188.98 and 107.93

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Solution

The fourth proportional to 137.09, 188.98 and 107.93 is: 148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 188.98 = 107.93 : x
  2. Step 2: Convert to fraction form
    137.09/188.98 = 107.93/x
  3. Step 3: Cross multiply
    137.09x = 188.98 × 107.93
  4. Step 4: Simplify right side
    137.09x = 20,396.61
  5. Step 5: Solve for x
    x = 20,396.61/137.09
  6. Step 6: Final answer
    x = 148.78

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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.