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Finding the Fourth Proportional to 126.13, 189.20 and 49.10

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Solution

The fourth proportional to 126.13, 189.20 and 49.10 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.13 : 189.20 = 49.10 : x
  2. Step 2: Convert to fraction form
    126.13/189.20 = 49.10/x
  3. Step 3: Cross multiply
    126.13x = 189.20 × 49.10
  4. Step 4: Simplify right side
    126.13x = 9,289.72
  5. Step 5: Solve for x
    x = 9,289.72/126.13
  6. Step 6: Final answer
    x = 73.65

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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.