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Finding the Fourth Proportional to 71.37, 106.83 and 53.94

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Solution

The fourth proportional to 71.37, 106.83 and 53.94 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 106.83 = 53.94 : x
  2. Step 2: Convert to fraction form
    71.37/106.83 = 53.94/x
  3. Step 3: Cross multiply
    71.37x = 106.83 × 53.94
  4. Step 4: Simplify right side
    71.37x = 5,762.41
  5. Step 5: Solve for x
    x = 5,762.41/71.37
  6. Step 6: Final answer
    x = 80.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.