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Finding the Fourth Proportional to 189.72, 261.84 and 106.84

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Solution

The fourth proportional to 189.72, 261.84 and 106.84 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 261.84 = 106.84 : x
  2. Step 2: Convert to fraction form
    189.72/261.84 = 106.84/x
  3. Step 3: Cross multiply
    189.72x = 261.84 × 106.84
  4. Step 4: Simplify right side
    189.72x = 27,976.23
  5. Step 5: Solve for x
    x = 27,976.23/189.72
  6. Step 6: Final answer
    x = 147.46

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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.