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Finding the Fourth Proportional to 189.24, 283.89 and 108.06

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Solution

The fourth proportional to 189.24, 283.89 and 108.06 is: 162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 283.89 = 108.06 : x
  2. Step 2: Convert to fraction form
    189.24/283.89 = 108.06/x
  3. Step 3: Cross multiply
    189.24x = 283.89 × 108.06
  4. Step 4: Simplify right side
    189.24x = 30,677.15
  5. Step 5: Solve for x
    x = 30,677.15/189.24
  6. Step 6: Final answer
    x = 162.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.