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Finding the Fourth Proportional to 82.26, 123.20 and 51.74

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Solution

The fourth proportional to 82.26, 123.20 and 51.74 is: 77.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 123.20 = 51.74 : x
  2. Step 2: Convert to fraction form
    82.26/123.20 = 51.74/x
  3. Step 3: Cross multiply
    82.26x = 123.20 × 51.74
  4. Step 4: Simplify right side
    82.26x = 6,374.37
  5. Step 5: Solve for x
    x = 6,374.37/82.26
  6. Step 6: Final answer
    x = 77.49

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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.