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Finding the Fourth Proportional to 71.94, 108.03 and 51.81

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Solution

The fourth proportional to 71.94, 108.03 and 51.81 is: 77.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 108.03 = 51.81 : x
  2. Step 2: Convert to fraction form
    71.94/108.03 = 51.81/x
  3. Step 3: Cross multiply
    71.94x = 108.03 × 51.81
  4. Step 4: Simplify right side
    71.94x = 5,597.03
  5. Step 5: Solve for x
    x = 5,597.03/71.94
  6. Step 6: Final answer
    x = 77.80

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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.