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Finding the Fourth Proportional to 83.21, 114.89 and 54.15

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Solution

The fourth proportional to 83.21, 114.89 and 54.15 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 114.89 = 54.15 : x
  2. Step 2: Convert to fraction form
    83.21/114.89 = 54.15/x
  3. Step 3: Cross multiply
    83.21x = 114.89 × 54.15
  4. Step 4: Simplify right side
    83.21x = 6,221.02
  5. Step 5: Solve for x
    x = 6,221.02/83.21
  6. Step 6: Final answer
    x = 74.76

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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.