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Finding the Fourth Proportional to 82.44, 113.84 and 66.88

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Solution

The fourth proportional to 82.44, 113.84 and 66.88 is: 92.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 113.84 = 66.88 : x
  2. Step 2: Convert to fraction form
    82.44/113.84 = 66.88/x
  3. Step 3: Cross multiply
    82.44x = 113.84 × 66.88
  4. Step 4: Simplify right side
    82.44x = 7,613.62
  5. Step 5: Solve for x
    x = 7,613.62/82.44
  6. Step 6: Final answer
    x = 92.35

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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.