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Finding the Fourth Proportional to 189.72, 261.81 and 106.82

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Solution

The fourth proportional to 189.72, 261.81 and 106.82 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 261.81 = 106.82 : x
  2. Step 2: Convert to fraction form
    189.72/261.81 = 106.82/x
  3. Step 3: Cross multiply
    189.72x = 261.81 × 106.82
  4. Step 4: Simplify right side
    189.72x = 27,966.54
  5. Step 5: Solve for x
    x = 27,966.54/189.72
  6. Step 6: Final answer
    x = 147.41

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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.