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Finding the Fourth Proportional to 124.96, 186.96 and 82

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Solution

The fourth proportional to 124.96, 186.96 and 82 is: 122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.96 : 186.96 = 82 : x
  2. Step 2: Convert to fraction form
    124.96/186.96 = 82/x
  3. Step 3: Cross multiply
    124.96x = 186.96 × 82
  4. Step 4: Simplify right side
    124.96x = 15,330.72
  5. Step 5: Solve for x
    x = 15,330.72/124.96
  6. Step 6: Final answer
    x = 122.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.