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Finding the Fourth Proportional to 84.93, 116.67 and 76.29

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Solution

The fourth proportional to 84.93, 116.67 and 76.29 is: 104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.93 : 116.67 = 76.29 : x
  2. Step 2: Convert to fraction form
    84.93/116.67 = 76.29/x
  3. Step 3: Cross multiply
    84.93x = 116.67 × 76.29
  4. Step 4: Simplify right side
    84.93x = 8,900.75
  5. Step 5: Solve for x
    x = 8,900.75/84.93
  6. Step 6: Final answer
    x = 104.80

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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.