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Finding the Fourth Proportional to 189.61, 261.67 and 106.75

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Solution

The fourth proportional to 189.61, 261.67 and 106.75 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.61 : 261.67 = 106.75 : x
  2. Step 2: Convert to fraction form
    189.61/261.67 = 106.75/x
  3. Step 3: Cross multiply
    189.61x = 261.67 × 106.75
  4. Step 4: Simplify right side
    189.61x = 27,933.27
  5. Step 5: Solve for x
    x = 27,933.27/189.61
  6. Step 6: Final answer
    x = 147.32

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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.