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Finding the Fourth Proportional to 82.10, 112.98 and 75.98

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Solution

The fourth proportional to 82.10, 112.98 and 75.98 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 112.98 = 75.98 : x
  2. Step 2: Convert to fraction form
    82.10/112.98 = 75.98/x
  3. Step 3: Cross multiply
    82.10x = 112.98 × 75.98
  4. Step 4: Simplify right side
    82.10x = 8,584.22
  5. Step 5: Solve for x
    x = 8,584.22/82.10
  6. Step 6: Final answer
    x = 104.56

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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.