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Finding the Fourth Proportional to 82.31, 113.58 and 54.74

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Solution

The fourth proportional to 82.31, 113.58 and 54.74 is: 75.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 113.58 = 54.74 : x
  2. Step 2: Convert to fraction form
    82.31/113.58 = 54.74/x
  3. Step 3: Cross multiply
    82.31x = 113.58 × 54.74
  4. Step 4: Simplify right side
    82.31x = 6,217.37
  5. Step 5: Solve for x
    x = 6,217.37/82.31
  6. Step 6: Final answer
    x = 75.54

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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.