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Finding the Fourth Proportional to 126.49, 189.76 and 39.84

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Solution

The fourth proportional to 126.49, 189.76 and 39.84 is: 59.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.49 : 189.76 = 39.84 : x
  2. Step 2: Convert to fraction form
    126.49/189.76 = 39.84/x
  3. Step 3: Cross multiply
    126.49x = 189.76 × 39.84
  4. Step 4: Simplify right side
    126.49x = 7,560.79
  5. Step 5: Solve for x
    x = 7,560.79/126.49
  6. Step 6: Final answer
    x = 59.78

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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.