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Finding the Fourth Proportional to 82.09, 113.16 and 54.46

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Solution

The fourth proportional to 82.09, 113.16 and 54.46 is: 75.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 113.16 = 54.46 : x
  2. Step 2: Convert to fraction form
    82.09/113.16 = 54.46/x
  3. Step 3: Cross multiply
    82.09x = 113.16 × 54.46
  4. Step 4: Simplify right side
    82.09x = 6,162.69
  5. Step 5: Solve for x
    x = 6,162.69/82.09
  6. Step 6: Final answer
    x = 75.07

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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.