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Finding the Fourth Proportional to 82.10, 113.04 and 69.80

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Solution

The fourth proportional to 82.10, 113.04 and 69.80 is: 96.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 113.04 = 69.80 : x
  2. Step 2: Convert to fraction form
    82.10/113.04 = 69.80/x
  3. Step 3: Cross multiply
    82.10x = 113.04 × 69.80
  4. Step 4: Simplify right side
    82.10x = 7,890.19
  5. Step 5: Solve for x
    x = 7,890.19/82.10
  6. Step 6: Final answer
    x = 96.10

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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.