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Finding the Fourth Proportional to 103.02, 154.26 and 82.80

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Solution

The fourth proportional to 103.02, 154.26 and 82.80 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 154.26 = 82.80 : x
  2. Step 2: Convert to fraction form
    103.02/154.26 = 82.80/x
  3. Step 3: Cross multiply
    103.02x = 154.26 × 82.80
  4. Step 4: Simplify right side
    103.02x = 12,772.73
  5. Step 5: Solve for x
    x = 12,772.73/103.02
  6. Step 6: Final answer
    x = 123.98

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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.