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Finding the Fourth Proportional to 50.02, 68.79 and 45.97

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Solution

The fourth proportional to 50.02, 68.79 and 45.97 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 68.79 = 45.97 : x
  2. Step 2: Convert to fraction form
    50.02/68.79 = 45.97/x
  3. Step 3: Cross multiply
    50.02x = 68.79 × 45.97
  4. Step 4: Simplify right side
    50.02x = 3,162.28
  5. Step 5: Solve for x
    x = 3,162.28/50.02
  6. Step 6: Final answer
    x = 63.22

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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.