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Finding the Fourth Proportional to 82.50, 113.78 and 49.70

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Solution

The fourth proportional to 82.50, 113.78 and 49.70 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.78 = 49.70 : x
  2. Step 2: Convert to fraction form
    82.50/113.78 = 49.70/x
  3. Step 3: Cross multiply
    82.50x = 113.78 × 49.70
  4. Step 4: Simplify right side
    82.50x = 5,654.42
  5. Step 5: Solve for x
    x = 5,654.42/82.50
  6. Step 6: Final answer
    x = 68.54

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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.