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Finding the Fourth Proportional to 84.12, 116.21 and 65.94

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Solution

The fourth proportional to 84.12, 116.21 and 65.94 is: 91.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 116.21 = 65.94 : x
  2. Step 2: Convert to fraction form
    84.12/116.21 = 65.94/x
  3. Step 3: Cross multiply
    84.12x = 116.21 × 65.94
  4. Step 4: Simplify right side
    84.12x = 7,662.76
  5. Step 5: Solve for x
    x = 7,662.76/84.12
  6. Step 6: Final answer
    x = 91.09

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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.