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Finding the Fourth Proportional to 71.98, 107.90 and 39.94

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Solution

The fourth proportional to 71.98, 107.90 and 39.94 is: 59.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.98 : 107.90 = 39.94 : x
  2. Step 2: Convert to fraction form
    71.98/107.90 = 39.94/x
  3. Step 3: Cross multiply
    71.98x = 107.90 × 39.94
  4. Step 4: Simplify right side
    71.98x = 4,309.53
  5. Step 5: Solve for x
    x = 4,309.53/71.98
  6. Step 6: Final answer
    x = 59.87

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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.