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Finding the Fourth Proportional to 84.09, 126.14 and 23.23

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Solution

The fourth proportional to 84.09, 126.14 and 23.23 is: 34.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 126.14 = 23.23 : x
  2. Step 2: Convert to fraction form
    84.09/126.14 = 23.23/x
  3. Step 3: Cross multiply
    84.09x = 126.14 × 23.23
  4. Step 4: Simplify right side
    84.09x = 2,929.69
  5. Step 5: Solve for x
    x = 2,929.69/84.09
  6. Step 6: Final answer
    x = 34.84

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Why These Related Problems?

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