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Finding the Fourth Proportional to 94.84, 142.31 and 82.08

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Solution

The fourth proportional to 94.84, 142.31 and 82.08 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.84 : 142.31 = 82.08 : x
  2. Step 2: Convert to fraction form
    94.84/142.31 = 82.08/x
  3. Step 3: Cross multiply
    94.84x = 142.31 × 82.08
  4. Step 4: Simplify right side
    94.84x = 11,680.39
  5. Step 5: Solve for x
    x = 11,680.39/94.84
  6. Step 6: Final answer
    x = 123.16

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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.