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Finding the Fourth Proportional to 83.84, 126.06 and 75.48

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Solution

The fourth proportional to 83.84, 126.06 and 75.48 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 126.06 = 75.48 : x
  2. Step 2: Convert to fraction form
    83.84/126.06 = 75.48/x
  3. Step 3: Cross multiply
    83.84x = 126.06 × 75.48
  4. Step 4: Simplify right side
    83.84x = 9,514.96
  5. Step 5: Solve for x
    x = 9,514.96/83.84
  6. Step 6: Final answer
    x = 113.50

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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.