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Finding the Fourth Proportional to 82.42, 113.76 and 73.78

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Solution

The fourth proportional to 82.42, 113.76 and 73.78 is: 101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 113.76 = 73.78 : x
  2. Step 2: Convert to fraction form
    82.42/113.76 = 73.78/x
  3. Step 3: Cross multiply
    82.42x = 113.76 × 73.78
  4. Step 4: Simplify right side
    82.42x = 8,393.21
  5. Step 5: Solve for x
    x = 8,393.21/82.42
  6. Step 6: Final answer
    x = 101.83

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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.