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Finding the Fourth Proportional to 50.07, 68.96 and 46.42

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Solution

The fourth proportional to 50.07, 68.96 and 46.42 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.07 : 68.96 = 46.42 : x
  2. Step 2: Convert to fraction form
    50.07/68.96 = 46.42/x
  3. Step 3: Cross multiply
    50.07x = 68.96 × 46.42
  4. Step 4: Simplify right side
    50.07x = 3,201.12
  5. Step 5: Solve for x
    x = 3,201.12/50.07
  6. Step 6: Final answer
    x = 63.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.