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Finding the Fourth Proportional to 94.54, 130.33 and 83

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Solution

The fourth proportional to 94.54, 130.33 and 83 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.54 : 130.33 = 83 : x
  2. Step 2: Convert to fraction form
    94.54/130.33 = 83/x
  3. Step 3: Cross multiply
    94.54x = 130.33 × 83
  4. Step 4: Simplify right side
    94.54x = 10,817.39
  5. Step 5: Solve for x
    x = 10,817.39/94.54
  6. Step 6: Final answer
    x = 114.42

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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.