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Finding the Fourth Proportional to 50, 68.96 and 30.58

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Solution

The fourth proportional to 50, 68.96 and 30.58 is: 42.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 68.96 = 30.58 : x
  2. Step 2: Convert to fraction form
    50/68.96 = 30.58/x
  3. Step 3: Cross multiply
    50x = 68.96 × 30.58
  4. Step 4: Simplify right side
    50x = 2,108.80
  5. Step 5: Solve for x
    x = 2,108.80/50
  6. Step 6: Final answer
    x = 42.18

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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.