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Finding the Fourth Proportional to 82.44, 123.36 and 50.40

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Solution

The fourth proportional to 82.44, 123.36 and 50.40 is: 75.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 123.36 = 50.40 : x
  2. Step 2: Convert to fraction form
    82.44/123.36 = 50.40/x
  3. Step 3: Cross multiply
    82.44x = 123.36 × 50.40
  4. Step 4: Simplify right side
    82.44x = 6,217.34
  5. Step 5: Solve for x
    x = 6,217.34/82.44
  6. Step 6: Final answer
    x = 75.42

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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.