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Finding the Fourth Proportional to 83.96, 126 and 47.36

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Solution

The fourth proportional to 83.96, 126 and 47.36 is: 71.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.96 : 126 = 47.36 : x
  2. Step 2: Convert to fraction form
    83.96/126 = 47.36/x
  3. Step 3: Cross multiply
    83.96x = 126 × 47.36
  4. Step 4: Simplify right side
    83.96x = 5,967.36
  5. Step 5: Solve for x
    x = 5,967.36/83.96
  6. Step 6: Final answer
    x = 71.07

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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.