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Finding the Fourth Proportional to 94.84, 130.86 and 81.78

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Solution

The fourth proportional to 94.84, 130.86 and 81.78 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.84 : 130.86 = 81.78 : x
  2. Step 2: Convert to fraction form
    94.84/130.86 = 81.78/x
  3. Step 3: Cross multiply
    94.84x = 130.86 × 81.78
  4. Step 4: Simplify right side
    94.84x = 10,701.73
  5. Step 5: Solve for x
    x = 10,701.73/94.84
  6. Step 6: Final answer
    x = 112.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.