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Finding the Fourth Proportional to 126.60, 189.72 and 109.20

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Solution

The fourth proportional to 126.60, 189.72 and 109.20 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 189.72 = 109.20 : x
  2. Step 2: Convert to fraction form
    126.60/189.72 = 109.20/x
  3. Step 3: Cross multiply
    126.60x = 189.72 × 109.20
  4. Step 4: Simplify right side
    126.60x = 20,717.42
  5. Step 5: Solve for x
    x = 20,717.42/126.60
  6. Step 6: Final answer
    x = 163.64

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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.