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Finding the Fourth Proportional to 126.52, 189.83 and 83.14

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Solution

The fourth proportional to 126.52, 189.83 and 83.14 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.52 : 189.83 = 83.14 : x
  2. Step 2: Convert to fraction form
    126.52/189.83 = 83.14/x
  3. Step 3: Cross multiply
    126.52x = 189.83 × 83.14
  4. Step 4: Simplify right side
    126.52x = 15,782.20
  5. Step 5: Solve for x
    x = 15,782.20/126.52
  6. Step 6: Final answer
    x = 124.74

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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.