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Finding the Fourth Proportional to 123.50, 170.43 and 82.12

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Solution

The fourth proportional to 123.50, 170.43 and 82.12 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 170.43 = 82.12 : x
  2. Step 2: Convert to fraction form
    123.50/170.43 = 82.12/x
  3. Step 3: Cross multiply
    123.50x = 170.43 × 82.12
  4. Step 4: Simplify right side
    123.50x = 13,995.71
  5. Step 5: Solve for x
    x = 13,995.71/123.50
  6. Step 6: Final answer
    x = 113.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.