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Finding the Fourth Proportional to 83.05, 114.66 and 63.41

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Solution

The fourth proportional to 83.05, 114.66 and 63.41 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 114.66 = 63.41 : x
  2. Step 2: Convert to fraction form
    83.05/114.66 = 63.41/x
  3. Step 3: Cross multiply
    83.05x = 114.66 × 63.41
  4. Step 4: Simplify right side
    83.05x = 7,270.02
  5. Step 5: Solve for x
    x = 7,270.02/83.05
  6. Step 6: Final answer
    x = 87.54

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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.