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Finding the Fourth Proportional to 107.82, 162 and 72.05

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Solution

The fourth proportional to 107.82, 162 and 72.05 is: 108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 162 = 72.05 : x
  2. Step 2: Convert to fraction form
    107.82/162 = 72.05/x
  3. Step 3: Cross multiply
    107.82x = 162 × 72.05
  4. Step 4: Simplify right side
    107.82x = 11,671.29
  5. Step 5: Solve for x
    x = 11,671.29/107.82
  6. Step 6: Final answer
    x = 108.25

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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.