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Finding the Fourth Proportional to 189.24, 261.13 and 106.34

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Solution

The fourth proportional to 189.24, 261.13 and 106.34 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 261.13 = 106.34 : x
  2. Step 2: Convert to fraction form
    189.24/261.13 = 106.34/x
  3. Step 3: Cross multiply
    189.24x = 261.13 × 106.34
  4. Step 4: Simplify right side
    189.24x = 27,768.56
  5. Step 5: Solve for x
    x = 27,768.56/189.24
  6. Step 6: Final answer
    x = 146.74

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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.