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Finding the Fourth Proportional to 83.25, 114.90 and 54.20

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Solution

The fourth proportional to 83.25, 114.90 and 54.20 is: 74.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 114.90 = 54.20 : x
  2. Step 2: Convert to fraction form
    83.25/114.90 = 54.20/x
  3. Step 3: Cross multiply
    83.25x = 114.90 × 54.20
  4. Step 4: Simplify right side
    83.25x = 6,227.66
  5. Step 5: Solve for x
    x = 6,227.66/83.25
  6. Step 6: Final answer
    x = 74.81

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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.