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Finding the Fourth Proportional to 123.82, 170.80 and 82.42

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Solution

The fourth proportional to 123.82, 170.80 and 82.42 is: 113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 170.80 = 82.42 : x
  2. Step 2: Convert to fraction form
    123.82/170.80 = 82.42/x
  3. Step 3: Cross multiply
    123.82x = 170.80 × 82.42
  4. Step 4: Simplify right side
    123.82x = 14,077.34
  5. Step 5: Solve for x
    x = 14,077.34/123.82
  6. Step 6: Final answer
    x = 113.69

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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.