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Finding the Fourth Proportional to 52.08, 72.22 and 50.24

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Solution

The fourth proportional to 52.08, 72.22 and 50.24 is: 69.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 72.22 = 50.24 : x
  2. Step 2: Convert to fraction form
    52.08/72.22 = 50.24/x
  3. Step 3: Cross multiply
    52.08x = 72.22 × 50.24
  4. Step 4: Simplify right side
    52.08x = 3,628.33
  5. Step 5: Solve for x
    x = 3,628.33/52.08
  6. Step 6: Final answer
    x = 69.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.