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Finding the Fourth Proportional to 82.24, 113.58 and 76.09

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Solution

The fourth proportional to 82.24, 113.58 and 76.09 is: 105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.58 = 76.09 : x
  2. Step 2: Convert to fraction form
    82.24/113.58 = 76.09/x
  3. Step 3: Cross multiply
    82.24x = 113.58 × 76.09
  4. Step 4: Simplify right side
    82.24x = 8,642.30
  5. Step 5: Solve for x
    x = 8,642.30/82.24
  6. Step 6: Final answer
    x = 105.09

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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.