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Finding the Fourth Proportional to 82.22, 123.26 and 45.63

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Solution

The fourth proportional to 82.22, 123.26 and 45.63 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.22 : 123.26 = 45.63 : x
  2. Step 2: Convert to fraction form
    82.22/123.26 = 45.63/x
  3. Step 3: Cross multiply
    82.22x = 123.26 × 45.63
  4. Step 4: Simplify right side
    82.22x = 5,624.13
  5. Step 5: Solve for x
    x = 5,624.13/82.22
  6. Step 6: Final answer
    x = 68.41

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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.