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Finding the Fourth Proportional to 126.23, 189.41 and 57.75

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Solution

The fourth proportional to 126.23, 189.41 and 57.75 is: 86.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.23 : 189.41 = 57.75 : x
  2. Step 2: Convert to fraction form
    126.23/189.41 = 57.75/x
  3. Step 3: Cross multiply
    126.23x = 189.41 × 57.75
  4. Step 4: Simplify right side
    126.23x = 10,937.92
  5. Step 5: Solve for x
    x = 10,937.92/126.23
  6. Step 6: Final answer
    x = 86.65

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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.