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Finding the Fourth Proportional to 189.77, 261.91 and 106.92

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Solution

The fourth proportional to 189.77, 261.91 and 106.92 is: 147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 261.91 = 106.92 : x
  2. Step 2: Convert to fraction form
    189.77/261.91 = 106.92/x
  3. Step 3: Cross multiply
    189.77x = 261.91 × 106.92
  4. Step 4: Simplify right side
    189.77x = 28,003.25
  5. Step 5: Solve for x
    x = 28,003.25/189.77
  6. Step 6: Final answer
    x = 147.57

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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.