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Finding the Fourth Proportional to 137.44, 189.76 and 90.84

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Solution

The fourth proportional to 137.44, 189.76 and 90.84 is: 125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 189.76 = 90.84 : x
  2. Step 2: Convert to fraction form
    137.44/189.76 = 90.84/x
  3. Step 3: Cross multiply
    137.44x = 189.76 × 90.84
  4. Step 4: Simplify right side
    137.44x = 17,237.80
  5. Step 5: Solve for x
    x = 17,237.80/137.44
  6. Step 6: Final answer
    x = 125.42

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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.