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Finding the Fourth Proportional to 94.20, 140.59 and 82.59

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Solution

The fourth proportional to 94.20, 140.59 and 82.59 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.20 : 140.59 = 82.59 : x
  2. Step 2: Convert to fraction form
    94.20/140.59 = 82.59/x
  3. Step 3: Cross multiply
    94.20x = 140.59 × 82.59
  4. Step 4: Simplify right side
    94.20x = 11,611.12
  5. Step 5: Solve for x
    x = 11,611.12/94.20
  6. Step 6: Final answer
    x = 123.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.