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Finding the Fourth Proportional to 84.83, 127.27 and 30.72

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Solution

The fourth proportional to 84.83, 127.27 and 30.72 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.83 : 127.27 = 30.72 : x
  2. Step 2: Convert to fraction form
    84.83/127.27 = 30.72/x
  3. Step 3: Cross multiply
    84.83x = 127.27 × 30.72
  4. Step 4: Simplify right side
    84.83x = 3,909.73
  5. Step 5: Solve for x
    x = 3,909.73/84.83
  6. Step 6: Final answer
    x = 46.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.