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Finding the Fourth Proportional to 126.34, 189.42 and 83.50

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Solution

The fourth proportional to 126.34, 189.42 and 83.50 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.34 : 189.42 = 83.50 : x
  2. Step 2: Convert to fraction form
    126.34/189.42 = 83.50/x
  3. Step 3: Cross multiply
    126.34x = 189.42 × 83.50
  4. Step 4: Simplify right side
    126.34x = 15,816.57
  5. Step 5: Solve for x
    x = 15,816.57/126.34
  6. Step 6: Final answer
    x = 125.19

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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.