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Finding the Fourth Proportional to 126.84, 190.04 and 86.34

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Solution

The fourth proportional to 126.84, 190.04 and 86.34 is: 129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.84 : 190.04 = 86.34 : x
  2. Step 2: Convert to fraction form
    126.84/190.04 = 86.34/x
  3. Step 3: Cross multiply
    126.84x = 190.04 × 86.34
  4. Step 4: Simplify right side
    126.84x = 16,407.62
  5. Step 5: Solve for x
    x = 16,407.62/126.84
  6. Step 6: Final answer
    x = 129.36

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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.