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Finding the Fourth Proportional to 83.21, 114.80 and 48.22

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Solution

The fourth proportional to 83.21, 114.80 and 48.22 is: 66.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 114.80 = 48.22 : x
  2. Step 2: Convert to fraction form
    83.21/114.80 = 48.22/x
  3. Step 3: Cross multiply
    83.21x = 114.80 × 48.22
  4. Step 4: Simplify right side
    83.21x = 5,535.62
  5. Step 5: Solve for x
    x = 5,535.62/83.21
  6. Step 6: Final answer
    x = 66.53

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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.