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Finding the Fourth Proportional to 83.30, 125.00 and 31.99

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Solution

The fourth proportional to 83.30, 125.00 and 31.99 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.30 : 125.00 = 31.99 : x
  2. Step 2: Convert to fraction form
    83.30/125.00 = 31.99/x
  3. Step 3: Cross multiply
    83.30x = 125.00 × 31.99
  4. Step 4: Simplify right side
    83.30x = 3,998.52
  5. Step 5: Solve for x
    x = 3,998.52/83.30
  6. Step 6: Final answer
    x = 48.00

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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.