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Finding the Fourth Proportional to 137.44, 190.04 and 130.98

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Solution

The fourth proportional to 137.44, 190.04 and 130.98 is: 181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 190.04 = 130.98 : x
  2. Step 2: Convert to fraction form
    137.44/190.04 = 130.98/x
  3. Step 3: Cross multiply
    137.44x = 190.04 × 130.98
  4. Step 4: Simplify right side
    137.44x = 24,891.77
  5. Step 5: Solve for x
    x = 24,891.77/137.44
  6. Step 6: Final answer
    x = 181.11

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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.