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Finding the Fourth Proportional to 84.92, 116.57 and 76.07

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Solution

The fourth proportional to 84.92, 116.57 and 76.07 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 116.57 = 76.07 : x
  2. Step 2: Convert to fraction form
    84.92/116.57 = 76.07/x
  3. Step 3: Cross multiply
    84.92x = 116.57 × 76.07
  4. Step 4: Simplify right side
    84.92x = 8,867.96
  5. Step 5: Solve for x
    x = 8,867.96/84.92
  6. Step 6: Final answer
    x = 104.43

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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.