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Finding the Fourth Proportional to 80.12, 120.14 and 32.02

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Solution

The fourth proportional to 80.12, 120.14 and 32.02 is: 48.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 120.14 = 32.02 : x
  2. Step 2: Convert to fraction form
    80.12/120.14 = 32.02/x
  3. Step 3: Cross multiply
    80.12x = 120.14 × 32.02
  4. Step 4: Simplify right side
    80.12x = 3,846.88
  5. Step 5: Solve for x
    x = 3,846.88/80.12
  6. Step 6: Final answer
    x = 48.01

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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.