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Finding the Fourth Proportional to 82.50, 113.78 and 54.84

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Solution

The fourth proportional to 82.50, 113.78 and 54.84 is: 75.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.78 = 54.84 : x
  2. Step 2: Convert to fraction form
    82.50/113.78 = 54.84/x
  3. Step 3: Cross multiply
    82.50x = 113.78 × 54.84
  4. Step 4: Simplify right side
    82.50x = 6,239.70
  5. Step 5: Solve for x
    x = 6,239.70/82.50
  6. Step 6: Final answer
    x = 75.63

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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.