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Finding the Fourth Proportional to 103.22, 154.71 and 51.83

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Solution

The fourth proportional to 103.22, 154.71 and 51.83 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.22 : 154.71 = 51.83 : x
  2. Step 2: Convert to fraction form
    103.22/154.71 = 51.83/x
  3. Step 3: Cross multiply
    103.22x = 154.71 × 51.83
  4. Step 4: Simplify right side
    103.22x = 8,017.85
  5. Step 5: Solve for x
    x = 8,017.85/103.22
  6. Step 6: Final answer
    x = 77.68

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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.