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Finding the Fourth Proportional to 84.69, 116.25 and 83.16

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Solution

The fourth proportional to 84.69, 116.25 and 83.16 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 116.25 = 83.16 : x
  2. Step 2: Convert to fraction form
    84.69/116.25 = 83.16/x
  3. Step 3: Cross multiply
    84.69x = 116.25 × 83.16
  4. Step 4: Simplify right side
    84.69x = 9,667.35
  5. Step 5: Solve for x
    x = 9,667.35/84.69
  6. Step 6: Final answer
    x = 114.15

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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.