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Finding the Fourth Proportional to 71.04, 106.37 and 36.73

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Solution

The fourth proportional to 71.04, 106.37 and 36.73 is: 54.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 106.37 = 36.73 : x
  2. Step 2: Convert to fraction form
    71.04/106.37 = 36.73/x
  3. Step 3: Cross multiply
    71.04x = 106.37 × 36.73
  4. Step 4: Simplify right side
    71.04x = 3,906.79
  5. Step 5: Solve for x
    x = 3,906.79/71.04
  6. Step 6: Final answer
    x = 54.99

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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.