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Finding the Fourth Proportional to 83.63, 125.39 and 49.40

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Solution

The fourth proportional to 83.63, 125.39 and 49.40 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 125.39 = 49.40 : x
  2. Step 2: Convert to fraction form
    83.63/125.39 = 49.40/x
  3. Step 3: Cross multiply
    83.63x = 125.39 × 49.40
  4. Step 4: Simplify right side
    83.63x = 6,193.39
  5. Step 5: Solve for x
    x = 6,193.39/83.63
  6. Step 6: Final answer
    x = 74.06

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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.