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Finding the Fourth Proportional to 83.21, 114.83 and 52.14

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Solution

The fourth proportional to 83.21, 114.83 and 52.14 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 114.83 = 52.14 : x
  2. Step 2: Convert to fraction form
    83.21/114.83 = 52.14/x
  3. Step 3: Cross multiply
    83.21x = 114.83 × 52.14
  4. Step 4: Simplify right side
    83.21x = 5,987.06
  5. Step 5: Solve for x
    x = 5,987.06/83.21
  6. Step 6: Final answer
    x = 71.95

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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.