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Finding the Fourth Proportional to 137.29, 189.33 and 104.62

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Solution

The fourth proportional to 137.29, 189.33 and 104.62 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 189.33 = 104.62 : x
  2. Step 2: Convert to fraction form
    137.29/189.33 = 104.62/x
  3. Step 3: Cross multiply
    137.29x = 189.33 × 104.62
  4. Step 4: Simplify right side
    137.29x = 19,807.70
  5. Step 5: Solve for x
    x = 19,807.70/137.29
  6. Step 6: Final answer
    x = 144.28

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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.