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Finding the Fourth Proportional to 82.43, 113.74 and 51.34

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Solution

The fourth proportional to 82.43, 113.74 and 51.34 is: 70.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.43 : 113.74 = 51.34 : x
  2. Step 2: Convert to fraction form
    82.43/113.74 = 51.34/x
  3. Step 3: Cross multiply
    82.43x = 113.74 × 51.34
  4. Step 4: Simplify right side
    82.43x = 5,839.41
  5. Step 5: Solve for x
    x = 5,839.41/82.43
  6. Step 6: Final answer
    x = 70.84

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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.