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Finding the Fourth Proportional to 126.20, 189.22 and 53.05

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Solution

The fourth proportional to 126.20, 189.22 and 53.05 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.20 : 189.22 = 53.05 : x
  2. Step 2: Convert to fraction form
    126.20/189.22 = 53.05/x
  3. Step 3: Cross multiply
    126.20x = 189.22 × 53.05
  4. Step 4: Simplify right side
    126.20x = 10,038.12
  5. Step 5: Solve for x
    x = 10,038.12/126.20
  6. Step 6: Final answer
    x = 79.54

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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.