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Finding the Fourth Proportional to 84.81, 116.10 and 82.05

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Solution

The fourth proportional to 84.81, 116.10 and 82.05 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.81 : 116.10 = 82.05 : x
  2. Step 2: Convert to fraction form
    84.81/116.10 = 82.05/x
  3. Step 3: Cross multiply
    84.81x = 116.10 × 82.05
  4. Step 4: Simplify right side
    84.81x = 9,526.01
  5. Step 5: Solve for x
    x = 9,526.01/84.81
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.