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Finding the Fourth Proportional to 94.90, 142.28 and 82.84

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Solution

The fourth proportional to 94.90, 142.28 and 82.84 is: 124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.90 : 142.28 = 82.84 : x
  2. Step 2: Convert to fraction form
    94.90/142.28 = 82.84/x
  3. Step 3: Cross multiply
    94.90x = 142.28 × 82.84
  4. Step 4: Simplify right side
    94.90x = 11,786.48
  5. Step 5: Solve for x
    x = 11,786.48/94.90
  6. Step 6: Final answer
    x = 124.20

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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.