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Finding the Fourth Proportional to 137.94, 189.72 and 115.80

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Solution

The fourth proportional to 137.94, 189.72 and 115.80 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 189.72 = 115.80 : x
  2. Step 2: Convert to fraction form
    137.94/189.72 = 115.80/x
  3. Step 3: Cross multiply
    137.94x = 189.72 × 115.80
  4. Step 4: Simplify right side
    137.94x = 21,969.58
  5. Step 5: Solve for x
    x = 21,969.58/137.94
  6. Step 6: Final answer
    x = 159.27

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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.