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Finding the Fourth Proportional to 83.37, 114.42 and 81.54

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Solution

The fourth proportional to 83.37, 114.42 and 81.54 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.37 : 114.42 = 81.54 : x
  2. Step 2: Convert to fraction form
    83.37/114.42 = 81.54/x
  3. Step 3: Cross multiply
    83.37x = 114.42 × 81.54
  4. Step 4: Simplify right side
    83.37x = 9,329.81
  5. Step 5: Solve for x
    x = 9,329.81/83.37
  6. Step 6: Final answer
    x = 111.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.