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Finding the Fourth Proportional to 126.41, 189.32 and 116.42

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Solution

The fourth proportional to 126.41, 189.32 and 116.42 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.41 : 189.32 = 116.42 : x
  2. Step 2: Convert to fraction form
    126.41/189.32 = 116.42/x
  3. Step 3: Cross multiply
    126.41x = 189.32 × 116.42
  4. Step 4: Simplify right side
    126.41x = 22,039.11
  5. Step 5: Solve for x
    x = 22,039.11/126.41
  6. Step 6: Final answer
    x = 174.35

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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.