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Finding the Fourth Proportional to 189.09, 260.96 and 106.19

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Solution

The fourth proportional to 189.09, 260.96 and 106.19 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 260.96 = 106.19 : x
  2. Step 2: Convert to fraction form
    189.09/260.96 = 106.19/x
  3. Step 3: Cross multiply
    189.09x = 260.96 × 106.19
  4. Step 4: Simplify right side
    189.09x = 27,711.34
  5. Step 5: Solve for x
    x = 27,711.34/189.09
  6. Step 6: Final answer
    x = 146.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.