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Finding the Fourth Proportional to 126.07, 189.12 and 52.94

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Solution

The fourth proportional to 126.07, 189.12 and 52.94 is: 79.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 189.12 = 52.94 : x
  2. Step 2: Convert to fraction form
    126.07/189.12 = 52.94/x
  3. Step 3: Cross multiply
    126.07x = 189.12 × 52.94
  4. Step 4: Simplify right side
    126.07x = 10,012.01
  5. Step 5: Solve for x
    x = 10,012.01/126.07
  6. Step 6: Final answer
    x = 79.42

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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.