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Finding the Fourth Proportional to 109.77, 164.73 and 82.77

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Solution

The fourth proportional to 109.77, 164.73 and 82.77 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.77 : 164.73 = 82.77 : x
  2. Step 2: Convert to fraction form
    109.77/164.73 = 82.77/x
  3. Step 3: Cross multiply
    109.77x = 164.73 × 82.77
  4. Step 4: Simplify right side
    109.77x = 13,634.70
  5. Step 5: Solve for x
    x = 13,634.70/109.77
  6. Step 6: Final answer
    x = 124.21

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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.