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Finding the Fourth Proportional to 126.63, 189.54 and 92.43

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Solution

The fourth proportional to 126.63, 189.54 and 92.43 is: 138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 189.54 = 92.43 : x
  2. Step 2: Convert to fraction form
    126.63/189.54 = 92.43/x
  3. Step 3: Cross multiply
    126.63x = 189.54 × 92.43
  4. Step 4: Simplify right side
    126.63x = 17,519.18
  5. Step 5: Solve for x
    x = 17,519.18/126.63
  6. Step 6: Final answer
    x = 138.35

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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.