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Finding the Fourth Proportional to 136.74, 188.63 and 81.46

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Solution

The fourth proportional to 136.74, 188.63 and 81.46 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 188.63 = 81.46 : x
  2. Step 2: Convert to fraction form
    136.74/188.63 = 81.46/x
  3. Step 3: Cross multiply
    136.74x = 188.63 × 81.46
  4. Step 4: Simplify right side
    136.74x = 15,364.87
  5. Step 5: Solve for x
    x = 15,364.87/136.74
  6. Step 6: Final answer
    x = 112.37

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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.