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Finding the Fourth Proportional to 103.71, 155.45 and 54.92

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Solution

The fourth proportional to 103.71, 155.45 and 54.92 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.71 : 155.45 = 54.92 : x
  2. Step 2: Convert to fraction form
    103.71/155.45 = 54.92/x
  3. Step 3: Cross multiply
    103.71x = 155.45 × 54.92
  4. Step 4: Simplify right side
    103.71x = 8,537.93
  5. Step 5: Solve for x
    x = 8,537.93/103.71
  6. Step 6: Final answer
    x = 82.33

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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.