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Finding the Fourth Proportional to 126.12, 189.30 and 106.04

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Solution

The fourth proportional to 126.12, 189.30 and 106.04 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 189.30 = 106.04 : x
  2. Step 2: Convert to fraction form
    126.12/189.30 = 106.04/x
  3. Step 3: Cross multiply
    126.12x = 189.30 × 106.04
  4. Step 4: Simplify right side
    126.12x = 20,073.37
  5. Step 5: Solve for x
    x = 20,073.37/126.12
  6. Step 6: Final answer
    x = 159.16

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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.