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Finding the Fourth Proportional to 189.39, 261.34 and 105.37

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Solution

The fourth proportional to 189.39, 261.34 and 105.37 is: 145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.39 : 261.34 = 105.37 : x
  2. Step 2: Convert to fraction form
    189.39/261.34 = 105.37/x
  3. Step 3: Cross multiply
    189.39x = 261.34 × 105.37
  4. Step 4: Simplify right side
    189.39x = 27,537.07
  5. Step 5: Solve for x
    x = 27,537.07/189.39
  6. Step 6: Final answer
    x = 145.40

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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.