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Finding the Fourth Proportional to 50.24, 75.40 and 23.22

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Solution

The fourth proportional to 50.24, 75.40 and 23.22 is: 34.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.24 : 75.40 = 23.22 : x
  2. Step 2: Convert to fraction form
    50.24/75.40 = 23.22/x
  3. Step 3: Cross multiply
    50.24x = 75.40 × 23.22
  4. Step 4: Simplify right side
    50.24x = 1,750.79
  5. Step 5: Solve for x
    x = 1,750.79/50.24
  6. Step 6: Final answer
    x = 34.85

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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.