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Finding the Fourth Proportional to 94.68, 142.08 and 81.84

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Solution

The fourth proportional to 94.68, 142.08 and 81.84 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.68 : 142.08 = 81.84 : x
  2. Step 2: Convert to fraction form
    94.68/142.08 = 81.84/x
  3. Step 3: Cross multiply
    94.68x = 142.08 × 81.84
  4. Step 4: Simplify right side
    94.68x = 11,627.83
  5. Step 5: Solve for x
    x = 11,627.83/94.68
  6. Step 6: Final answer
    x = 122.81

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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.