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Finding the Fourth Proportional to 84.76, 116.71 and 67.26

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Solution

The fourth proportional to 84.76, 116.71 and 67.26 is: 92.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.76 : 116.71 = 67.26 : x
  2. Step 2: Convert to fraction form
    84.76/116.71 = 67.26/x
  3. Step 3: Cross multiply
    84.76x = 116.71 × 67.26
  4. Step 4: Simplify right side
    84.76x = 7,849.91
  5. Step 5: Solve for x
    x = 7,849.91/84.76
  6. Step 6: Final answer
    x = 92.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.