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Finding the Fourth Proportional to 83.72, 115.49 and 54.19

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Solution

The fourth proportional to 83.72, 115.49 and 54.19 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 115.49 = 54.19 : x
  2. Step 2: Convert to fraction form
    83.72/115.49 = 54.19/x
  3. Step 3: Cross multiply
    83.72x = 115.49 × 54.19
  4. Step 4: Simplify right side
    83.72x = 6,258.40
  5. Step 5: Solve for x
    x = 6,258.40/83.72
  6. Step 6: Final answer
    x = 74.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.