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Finding the Fourth Proportional to 103.63, 155.21 and 82.59

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Solution

The fourth proportional to 103.63, 155.21 and 82.59 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 155.21 = 82.59 : x
  2. Step 2: Convert to fraction form
    103.63/155.21 = 82.59/x
  3. Step 3: Cross multiply
    103.63x = 155.21 × 82.59
  4. Step 4: Simplify right side
    103.63x = 12,818.38
  5. Step 5: Solve for x
    x = 12,818.38/103.63
  6. Step 6: Final answer
    x = 123.69

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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.