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Finding the Fourth Proportional to 136.86, 189 and 113.78

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Solution

The fourth proportional to 136.86, 189 and 113.78 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.86 : 189 = 113.78 : x
  2. Step 2: Convert to fraction form
    136.86/189 = 113.78/x
  3. Step 3: Cross multiply
    136.86x = 189 × 113.78
  4. Step 4: Simplify right side
    136.86x = 21,504.42
  5. Step 5: Solve for x
    x = 21,504.42/136.86
  6. Step 6: Final answer
    x = 157.13

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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.