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Finding the Fourth Proportional to 136.84, 188.81 and 81.57

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Solution

The fourth proportional to 136.84, 188.81 and 81.57 is: 112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.84 : 188.81 = 81.57 : x
  2. Step 2: Convert to fraction form
    136.84/188.81 = 81.57/x
  3. Step 3: Cross multiply
    136.84x = 188.81 × 81.57
  4. Step 4: Simplify right side
    136.84x = 15,400.02
  5. Step 5: Solve for x
    x = 15,400.02/136.84
  6. Step 6: Final answer
    x = 112.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.