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Finding the Fourth Proportional to 50.38, 75.48 and 40.24

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Solution

The fourth proportional to 50.38, 75.48 and 40.24 is: 60.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 75.48 = 40.24 : x
  2. Step 2: Convert to fraction form
    50.38/75.48 = 40.24/x
  3. Step 3: Cross multiply
    50.38x = 75.48 × 40.24
  4. Step 4: Simplify right side
    50.38x = 3,037.32
  5. Step 5: Solve for x
    x = 3,037.32/50.38
  6. Step 6: Final answer
    x = 60.29

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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.