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Finding the Fourth Proportional to 103.06, 154.43 and 82.84

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Solution

The fourth proportional to 103.06, 154.43 and 82.84 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 154.43 = 82.84 : x
  2. Step 2: Convert to fraction form
    103.06/154.43 = 82.84/x
  3. Step 3: Cross multiply
    103.06x = 154.43 × 82.84
  4. Step 4: Simplify right side
    103.06x = 12,792.98
  5. Step 5: Solve for x
    x = 12,792.98/103.06
  6. Step 6: Final answer
    x = 124.13

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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.