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Finding the Fourth Proportional to 84.62, 126.66 and 83.81

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Solution

The fourth proportional to 84.62, 126.66 and 83.81 is: 125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.62 : 126.66 = 83.81 : x
  2. Step 2: Convert to fraction form
    84.62/126.66 = 83.81/x
  3. Step 3: Cross multiply
    84.62x = 126.66 × 83.81
  4. Step 4: Simplify right side
    84.62x = 10,615.37
  5. Step 5: Solve for x
    x = 10,615.37/84.62
  6. Step 6: Final answer
    x = 125.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.