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Finding the Fourth Proportional to 126.45, 189.72 and 106.20

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Solution

The fourth proportional to 126.45, 189.72 and 106.20 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.45 : 189.72 = 106.20 : x
  2. Step 2: Convert to fraction form
    126.45/189.72 = 106.20/x
  3. Step 3: Cross multiply
    126.45x = 189.72 × 106.20
  4. Step 4: Simplify right side
    126.45x = 20,148.26
  5. Step 5: Solve for x
    x = 20,148.26/126.45
  6. Step 6: Final answer
    x = 159.34

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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.