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Finding the Fourth Proportional to 126.05, 189.08 and 49.00

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Solution

The fourth proportional to 126.05, 189.08 and 49.00 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.05 : 189.08 = 49.00 : x
  2. Step 2: Convert to fraction form
    126.05/189.08 = 49.00/x
  3. Step 3: Cross multiply
    126.05x = 189.08 × 49.00
  4. Step 4: Simplify right side
    126.05x = 9,264.57
  5. Step 5: Solve for x
    x = 9,264.57/126.05
  6. Step 6: Final answer
    x = 73.50

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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.