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Finding the Fourth Proportional to 84.56, 116.72 and 67.04

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Solution

The fourth proportional to 84.56, 116.72 and 67.04 is: 92.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.56 : 116.72 = 67.04 : x
  2. Step 2: Convert to fraction form
    84.56/116.72 = 67.04/x
  3. Step 3: Cross multiply
    84.56x = 116.72 × 67.04
  4. Step 4: Simplify right side
    84.56x = 7,824.91
  5. Step 5: Solve for x
    x = 7,824.91/84.56
  6. Step 6: Final answer
    x = 92.54

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Why These Related Problems?

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