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Finding the Fourth Proportional to 85.14, 116.73 and 83.52

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Solution

The fourth proportional to 85.14, 116.73 and 83.52 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.14 : 116.73 = 83.52 : x
  2. Step 2: Convert to fraction form
    85.14/116.73 = 83.52/x
  3. Step 3: Cross multiply
    85.14x = 116.73 × 83.52
  4. Step 4: Simplify right side
    85.14x = 9,749.29
  5. Step 5: Solve for x
    x = 9,749.29/85.14
  6. Step 6: Final answer
    x = 114.51

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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.