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Finding the Fourth Proportional to 83.98, 126.02 and 32.66

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Solution

The fourth proportional to 83.98, 126.02 and 32.66 is: 49.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.98 : 126.02 = 32.66 : x
  2. Step 2: Convert to fraction form
    83.98/126.02 = 32.66/x
  3. Step 3: Cross multiply
    83.98x = 126.02 × 32.66
  4. Step 4: Simplify right side
    83.98x = 4,115.02
  5. Step 5: Solve for x
    x = 4,115.02/83.98
  6. Step 6: Final answer
    x = 49.00

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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.