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Finding the Fourth Proportional to 123.50, 170.30 and 82.06

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Solution

The fourth proportional to 123.50, 170.30 and 82.06 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 170.30 = 82.06 : x
  2. Step 2: Convert to fraction form
    123.50/170.30 = 82.06/x
  3. Step 3: Cross multiply
    123.50x = 170.30 × 82.06
  4. Step 4: Simplify right side
    123.50x = 13,974.82
  5. Step 5: Solve for x
    x = 13,974.82/123.50
  6. Step 6: Final answer
    x = 113.16

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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.