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Finding the Fourth Proportional to 71.68, 107.32 and 45.96

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Solution

The fourth proportional to 71.68, 107.32 and 45.96 is: 68.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 107.32 = 45.96 : x
  2. Step 2: Convert to fraction form
    71.68/107.32 = 45.96/x
  3. Step 3: Cross multiply
    71.68x = 107.32 × 45.96
  4. Step 4: Simplify right side
    71.68x = 4,932.43
  5. Step 5: Solve for x
    x = 4,932.43/71.68
  6. Step 6: Final answer
    x = 68.81

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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.