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Finding the Fourth Proportional to 126.60, 189.06 and 106.32

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Solution

The fourth proportional to 126.60, 189.06 and 106.32 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 189.06 = 106.32 : x
  2. Step 2: Convert to fraction form
    126.60/189.06 = 106.32/x
  3. Step 3: Cross multiply
    126.60x = 189.06 × 106.32
  4. Step 4: Simplify right side
    126.60x = 20,100.86
  5. Step 5: Solve for x
    x = 20,100.86/126.60
  6. Step 6: Final answer
    x = 158.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.