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Finding the Fourth Proportional to 83.09, 114.57 and 53.96

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Solution

The fourth proportional to 83.09, 114.57 and 53.96 is: 74.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.57 = 53.96 : x
  2. Step 2: Convert to fraction form
    83.09/114.57 = 53.96/x
  3. Step 3: Cross multiply
    83.09x = 114.57 × 53.96
  4. Step 4: Simplify right side
    83.09x = 6,181.62
  5. Step 5: Solve for x
    x = 6,181.62/83.09
  6. Step 6: Final answer
    x = 74.39

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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.