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Finding the Fourth Proportional to 82.53, 113.61 and 73.96

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Solution

The fourth proportional to 82.53, 113.61 and 73.96 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 113.61 = 73.96 : x
  2. Step 2: Convert to fraction form
    82.53/113.61 = 73.96/x
  3. Step 3: Cross multiply
    82.53x = 113.61 × 73.96
  4. Step 4: Simplify right side
    82.53x = 8,402.60
  5. Step 5: Solve for x
    x = 8,402.60/82.53
  6. Step 6: Final answer
    x = 101.81

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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.