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Finding the Fourth Proportional to 79.97, 120.01 and 31.88

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Solution

The fourth proportional to 79.97, 120.01 and 31.88 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.97 : 120.01 = 31.88 : x
  2. Step 2: Convert to fraction form
    79.97/120.01 = 31.88/x
  3. Step 3: Cross multiply
    79.97x = 120.01 × 31.88
  4. Step 4: Simplify right side
    79.97x = 3,825.92
  5. Step 5: Solve for x
    x = 3,825.92/79.97
  6. Step 6: Final answer
    x = 47.84

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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.