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Finding the Fourth Proportional to 83.85, 115.66 and 54.33

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Solution

The fourth proportional to 83.85, 115.66 and 54.33 is: 74.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.85 : 115.66 = 54.33 : x
  2. Step 2: Convert to fraction form
    83.85/115.66 = 54.33/x
  3. Step 3: Cross multiply
    83.85x = 115.66 × 54.33
  4. Step 4: Simplify right side
    83.85x = 6,283.81
  5. Step 5: Solve for x
    x = 6,283.81/83.85
  6. Step 6: Final answer
    x = 74.94

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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.