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Finding the Fourth Proportional to 137.96, 190.40 and 91.33

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Solution

The fourth proportional to 137.96, 190.40 and 91.33 is: 126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 190.40 = 91.33 : x
  2. Step 2: Convert to fraction form
    137.96/190.40 = 91.33/x
  3. Step 3: Cross multiply
    137.96x = 190.40 × 91.33
  4. Step 4: Simplify right side
    137.96x = 17,389.23
  5. Step 5: Solve for x
    x = 17,389.23/137.96
  6. Step 6: Final answer
    x = 126.05

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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.