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Finding the Fourth Proportional to 83.45, 114.93 and 73.73

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Solution

The fourth proportional to 83.45, 114.93 and 73.73 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.45 : 114.93 = 73.73 : x
  2. Step 2: Convert to fraction form
    83.45/114.93 = 73.73/x
  3. Step 3: Cross multiply
    83.45x = 114.93 × 73.73
  4. Step 4: Simplify right side
    83.45x = 8,473.21
  5. Step 5: Solve for x
    x = 8,473.21/83.45
  6. Step 6: Final answer
    x = 101.54

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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.