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Finding the Fourth Proportional to 82.45, 113.78 and 45.61

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Solution

The fourth proportional to 82.45, 113.78 and 45.61 is: 62.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 113.78 = 45.61 : x
  2. Step 2: Convert to fraction form
    82.45/113.78 = 45.61/x
  3. Step 3: Cross multiply
    82.45x = 113.78 × 45.61
  4. Step 4: Simplify right side
    82.45x = 5,188.99
  5. Step 5: Solve for x
    x = 5,188.99/82.45
  6. Step 6: Final answer
    x = 62.94

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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.