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Finding the Fourth Proportional to 137.66, 189.77 and 104.85

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Solution

The fourth proportional to 137.66, 189.77 and 104.85 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.77 = 104.85 : x
  2. Step 2: Convert to fraction form
    137.66/189.77 = 104.85/x
  3. Step 3: Cross multiply
    137.66x = 189.77 × 104.85
  4. Step 4: Simplify right side
    137.66x = 19,898.16
  5. Step 5: Solve for x
    x = 19,898.16/137.66
  6. Step 6: Final answer
    x = 144.55

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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.