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Finding the Fourth Proportional to 137.14, 189.29 and 78.93

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Solution

The fourth proportional to 137.14, 189.29 and 78.93 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.14 : 189.29 = 78.93 : x
  2. Step 2: Convert to fraction form
    137.14/189.29 = 78.93/x
  3. Step 3: Cross multiply
    137.14x = 189.29 × 78.93
  4. Step 4: Simplify right side
    137.14x = 14,940.66
  5. Step 5: Solve for x
    x = 14,940.66/137.14
  6. Step 6: Final answer
    x = 108.94

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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.