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Finding the Fourth Proportional to 137.02, 189.09 and 104.21

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Solution

The fourth proportional to 137.02, 189.09 and 104.21 is: 143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 189.09 = 104.21 : x
  2. Step 2: Convert to fraction form
    137.02/189.09 = 104.21/x
  3. Step 3: Cross multiply
    137.02x = 189.09 × 104.21
  4. Step 4: Simplify right side
    137.02x = 19,705.07
  5. Step 5: Solve for x
    x = 19,705.07/137.02
  6. Step 6: Final answer
    x = 143.81

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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.