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Finding the Fourth Proportional to 137.44, 189.60 and 98.56

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Solution

The fourth proportional to 137.44, 189.60 and 98.56 is: 135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 189.60 = 98.56 : x
  2. Step 2: Convert to fraction form
    137.44/189.60 = 98.56/x
  3. Step 3: Cross multiply
    137.44x = 189.60 × 98.56
  4. Step 4: Simplify right side
    137.44x = 18,686.98
  5. Step 5: Solve for x
    x = 18,686.98/137.44
  6. Step 6: Final answer
    x = 135.96

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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.