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Finding the Fourth Proportional to 136.82, 188.70 and 105.74

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Solution

The fourth proportional to 136.82, 188.70 and 105.74 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.82 : 188.70 = 105.74 : x
  2. Step 2: Convert to fraction form
    136.82/188.70 = 105.74/x
  3. Step 3: Cross multiply
    136.82x = 188.70 × 105.74
  4. Step 4: Simplify right side
    136.82x = 19,953.14
  5. Step 5: Solve for x
    x = 19,953.14/136.82
  6. Step 6: Final answer
    x = 145.83

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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.