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Finding the Fourth Proportional to 96.12, 144.17 and 32.00

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Solution

The fourth proportional to 96.12, 144.17 and 32.00 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 144.17 = 32.00 : x
  2. Step 2: Convert to fraction form
    96.12/144.17 = 32.00/x
  3. Step 3: Cross multiply
    96.12x = 144.17 × 32.00
  4. Step 4: Simplify right side
    96.12x = 4,612.56
  5. Step 5: Solve for x
    x = 4,612.56/96.12
  6. Step 6: Final answer
    x = 47.99

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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.