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Finding the Fourth Proportional to 92.86, 138.57 and 82.64

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Solution

The fourth proportional to 92.86, 138.57 and 82.64 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.86 : 138.57 = 82.64 : x
  2. Step 2: Convert to fraction form
    92.86/138.57 = 82.64/x
  3. Step 3: Cross multiply
    92.86x = 138.57 × 82.64
  4. Step 4: Simplify right side
    92.86x = 11,450.73
  5. Step 5: Solve for x
    x = 11,450.73/92.86
  6. Step 6: Final answer
    x = 123.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.