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Finding the Fourth Proportional to 71.94, 108.03 and 31.46

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Solution

The fourth proportional to 71.94, 108.03 and 31.46 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 108.03 = 31.46 : x
  2. Step 2: Convert to fraction form
    71.94/108.03 = 31.46/x
  3. Step 3: Cross multiply
    71.94x = 108.03 × 31.46
  4. Step 4: Simplify right side
    71.94x = 3,398.62
  5. Step 5: Solve for x
    x = 3,398.62/71.94
  6. Step 6: Final answer
    x = 47.24

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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.