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Finding the Fourth Proportional to 82.14, 113.46 and 57.54

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Solution

The fourth proportional to 82.14, 113.46 and 57.54 is: 79.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 113.46 = 57.54 : x
  2. Step 2: Convert to fraction form
    82.14/113.46 = 57.54/x
  3. Step 3: Cross multiply
    82.14x = 113.46 × 57.54
  4. Step 4: Simplify right side
    82.14x = 6,528.49
  5. Step 5: Solve for x
    x = 6,528.49/82.14
  6. Step 6: Final answer
    x = 79.48

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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.