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Finding the Fourth Proportional to 94.16, 140.94 and 82.52

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Solution

The fourth proportional to 94.16, 140.94 and 82.52 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 140.94 = 82.52 : x
  2. Step 2: Convert to fraction form
    94.16/140.94 = 82.52/x
  3. Step 3: Cross multiply
    94.16x = 140.94 × 82.52
  4. Step 4: Simplify right side
    94.16x = 11,630.37
  5. Step 5: Solve for x
    x = 11,630.37/94.16
  6. Step 6: Final answer
    x = 123.52

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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.