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Finding the Fourth Proportional to 126.22, 189.43 and 71.41

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Solution

The fourth proportional to 126.22, 189.43 and 71.41 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.22 : 189.43 = 71.41 : x
  2. Step 2: Convert to fraction form
    126.22/189.43 = 71.41/x
  3. Step 3: Cross multiply
    126.22x = 189.43 × 71.41
  4. Step 4: Simplify right side
    126.22x = 13,526.22
  5. Step 5: Solve for x
    x = 13,526.22/126.22
  6. Step 6: Final answer
    x = 107.17

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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.