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Finding the Fourth Proportional to 82.42, 113.81 and 61.76

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Solution

The fourth proportional to 82.42, 113.81 and 61.76 is: 85.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 113.81 = 61.76 : x
  2. Step 2: Convert to fraction form
    82.42/113.81 = 61.76/x
  3. Step 3: Cross multiply
    82.42x = 113.81 × 61.76
  4. Step 4: Simplify right side
    82.42x = 7,028.88
  5. Step 5: Solve for x
    x = 7,028.88/82.42
  6. Step 6: Final answer
    x = 85.28

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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.