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Finding the Fourth Proportional to 82.21, 113.41 and 76.35

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Solution

The fourth proportional to 82.21, 113.41 and 76.35 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.21 : 113.41 = 76.35 : x
  2. Step 2: Convert to fraction form
    82.21/113.41 = 76.35/x
  3. Step 3: Cross multiply
    82.21x = 113.41 × 76.35
  4. Step 4: Simplify right side
    82.21x = 8,659.04
  5. Step 5: Solve for x
    x = 8,659.04/82.21
  6. Step 6: Final answer
    x = 105.32

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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.