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Finding the Fourth Proportional to 109.80, 164.58 and 82.66

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Solution

The fourth proportional to 109.80, 164.58 and 82.66 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 164.58 = 82.66 : x
  2. Step 2: Convert to fraction form
    109.80/164.58 = 82.66/x
  3. Step 3: Cross multiply
    109.80x = 164.58 × 82.66
  4. Step 4: Simplify right side
    109.80x = 13,604.18
  5. Step 5: Solve for x
    x = 13,604.18/109.80
  6. Step 6: Final answer
    x = 123.90

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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.