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Finding the Fourth Proportional to 50.46, 75.32 and 44.10

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Solution

The fourth proportional to 50.46, 75.32 and 44.10 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 75.32 = 44.10 : x
  2. Step 2: Convert to fraction form
    50.46/75.32 = 44.10/x
  3. Step 3: Cross multiply
    50.46x = 75.32 × 44.10
  4. Step 4: Simplify right side
    50.46x = 3,321.39
  5. Step 5: Solve for x
    x = 3,321.39/50.46
  6. Step 6: Final answer
    x = 65.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.