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Finding the Fourth Proportional to 83.19, 114.50 and 73.98

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Solution

The fourth proportional to 83.19, 114.50 and 73.98 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.19 : 114.50 = 73.98 : x
  2. Step 2: Convert to fraction form
    83.19/114.50 = 73.98/x
  3. Step 3: Cross multiply
    83.19x = 114.50 × 73.98
  4. Step 4: Simplify right side
    83.19x = 8,469.77
  5. Step 5: Solve for x
    x = 8,469.77/83.19
  6. Step 6: Final answer
    x = 101.81

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