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Finding the Fourth Proportional to 82.48, 123.72 and 50

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Solution

The fourth proportional to 82.48, 123.72 and 50 is: 75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.48 : 123.72 = 50 : x
  2. Step 2: Convert to fraction form
    82.48/123.72 = 50/x
  3. Step 3: Cross multiply
    82.48x = 123.72 × 50
  4. Step 4: Simplify right side
    82.48x = 6,186
  5. Step 5: Solve for x
    x = 6,186/82.48
  6. Step 6: Final answer
    x = 75

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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.