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Finding the Fourth Proportional to 82.24, 123.38 and 75.56

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Solution

The fourth proportional to 82.24, 123.38 and 75.56 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 123.38 = 75.56 : x
  2. Step 2: Convert to fraction form
    82.24/123.38 = 75.56/x
  3. Step 3: Cross multiply
    82.24x = 123.38 × 75.56
  4. Step 4: Simplify right side
    82.24x = 9,322.59
  5. Step 5: Solve for x
    x = 9,322.59/82.24
  6. Step 6: Final answer
    x = 113.36

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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.