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Finding the Fourth Proportional to 84.09, 116.16 and 65.73

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Solution

The fourth proportional to 84.09, 116.16 and 65.73 is: 90.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 116.16 = 65.73 : x
  2. Step 2: Convert to fraction form
    84.09/116.16 = 65.73/x
  3. Step 3: Cross multiply
    84.09x = 116.16 × 65.73
  4. Step 4: Simplify right side
    84.09x = 7,635.20
  5. Step 5: Solve for x
    x = 7,635.20/84.09
  6. Step 6: Final answer
    x = 90.80

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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.