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Finding the Fourth Proportional to 137.09, 189.17 and 78.08

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Solution

The fourth proportional to 137.09, 189.17 and 78.08 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 189.17 = 78.08 : x
  2. Step 2: Convert to fraction form
    137.09/189.17 = 78.08/x
  3. Step 3: Cross multiply
    137.09x = 189.17 × 78.08
  4. Step 4: Simplify right side
    137.09x = 14,770.39
  5. Step 5: Solve for x
    x = 14,770.39/137.09
  6. Step 6: Final answer
    x = 107.74

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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.