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Finding the Fourth Proportional to 137.44, 189.84 and 113.14

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Solution

The fourth proportional to 137.44, 189.84 and 113.14 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 189.84 = 113.14 : x
  2. Step 2: Convert to fraction form
    137.44/189.84 = 113.14/x
  3. Step 3: Cross multiply
    137.44x = 189.84 × 113.14
  4. Step 4: Simplify right side
    137.44x = 21,478.50
  5. Step 5: Solve for x
    x = 21,478.50/137.44
  6. Step 6: Final answer
    x = 156.28

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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.