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Finding the Fourth Proportional to 136.94, 189.14 and 123.82

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Solution

The fourth proportional to 136.94, 189.14 and 123.82 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.94 : 189.14 = 123.82 : x
  2. Step 2: Convert to fraction form
    136.94/189.14 = 123.82/x
  3. Step 3: Cross multiply
    136.94x = 189.14 × 123.82
  4. Step 4: Simplify right side
    136.94x = 23,418.93
  5. Step 5: Solve for x
    x = 23,418.93/136.94
  6. Step 6: Final answer
    x = 171.02

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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.