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Finding the Fourth Proportional to 103.29, 154.67 and 82.63

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Solution

The fourth proportional to 103.29, 154.67 and 82.63 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.29 : 154.67 = 82.63 : x
  2. Step 2: Convert to fraction form
    103.29/154.67 = 82.63/x
  3. Step 3: Cross multiply
    103.29x = 154.67 × 82.63
  4. Step 4: Simplify right side
    103.29x = 12,779.58
  5. Step 5: Solve for x
    x = 12,779.58/103.29
  6. Step 6: Final answer
    x = 123.73

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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.