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Finding the Fourth Proportional to 82.19, 113.43 and 60.09

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Solution

The fourth proportional to 82.19, 113.43 and 60.09 is: 82.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 113.43 = 60.09 : x
  2. Step 2: Convert to fraction form
    82.19/113.43 = 60.09/x
  3. Step 3: Cross multiply
    82.19x = 113.43 × 60.09
  4. Step 4: Simplify right side
    82.19x = 6,815.94
  5. Step 5: Solve for x
    x = 6,815.94/82.19
  6. Step 6: Final answer
    x = 82.93

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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.