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Finding the Fourth Proportional to 109.80, 164.79 and 82.80

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Solution

The fourth proportional to 109.80, 164.79 and 82.80 is: 124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 164.79 = 82.80 : x
  2. Step 2: Convert to fraction form
    109.80/164.79 = 82.80/x
  3. Step 3: Cross multiply
    109.80x = 164.79 × 82.80
  4. Step 4: Simplify right side
    109.80x = 13,644.61
  5. Step 5: Solve for x
    x = 13,644.61/109.80
  6. Step 6: Final answer
    x = 124.27

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