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Finding the Fourth Proportional to 82.05, 113.07 and 58.69

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Solution

The fourth proportional to 82.05, 113.07 and 58.69 is: 80.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 113.07 = 58.69 : x
  2. Step 2: Convert to fraction form
    82.05/113.07 = 58.69/x
  3. Step 3: Cross multiply
    82.05x = 113.07 × 58.69
  4. Step 4: Simplify right side
    82.05x = 6,636.60
  5. Step 5: Solve for x
    x = 6,636.60/82.05
  6. Step 6: Final answer
    x = 80.89

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