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Finding the Fourth Proportional to 83.26, 124.80 and 54.36

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Solution

The fourth proportional to 83.26, 124.80 and 54.36 is: 81.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 124.80 = 54.36 : x
  2. Step 2: Convert to fraction form
    83.26/124.80 = 54.36/x
  3. Step 3: Cross multiply
    83.26x = 124.80 × 54.36
  4. Step 4: Simplify right side
    83.26x = 6,784.13
  5. Step 5: Solve for x
    x = 6,784.13/83.26
  6. Step 6: Final answer
    x = 81.48

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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.