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Finding the Fourth Proportional to 83.20, 124.67 and 48.99

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Solution

The fourth proportional to 83.20, 124.67 and 48.99 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 124.67 = 48.99 : x
  2. Step 2: Convert to fraction form
    83.20/124.67 = 48.99/x
  3. Step 3: Cross multiply
    83.20x = 124.67 × 48.99
  4. Step 4: Simplify right side
    83.20x = 6,107.58
  5. Step 5: Solve for x
    x = 6,107.58/83.20
  6. Step 6: Final answer
    x = 73.41

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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.