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Finding the Fourth Proportional to 137.85, 189.76 and 105.09

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Solution

The fourth proportional to 137.85, 189.76 and 105.09 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 189.76 = 105.09 : x
  2. Step 2: Convert to fraction form
    137.85/189.76 = 105.09/x
  3. Step 3: Cross multiply
    137.85x = 189.76 × 105.09
  4. Step 4: Simplify right side
    137.85x = 19,941.88
  5. Step 5: Solve for x
    x = 19,941.88/137.85
  6. Step 6: Final answer
    x = 144.66

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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.