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Finding the Fourth Proportional to 83.64, 116.07 and 81.72

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Solution

The fourth proportional to 83.64, 116.07 and 81.72 is: 113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 116.07 = 81.72 : x
  2. Step 2: Convert to fraction form
    83.64/116.07 = 81.72/x
  3. Step 3: Cross multiply
    83.64x = 116.07 × 81.72
  4. Step 4: Simplify right side
    83.64x = 9,485.24
  5. Step 5: Solve for x
    x = 9,485.24/83.64
  6. Step 6: Final answer
    x = 113.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.