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Finding the Fourth Proportional to 62.80, 94.23 and 42.41

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Solution

The fourth proportional to 62.80, 94.23 and 42.41 is: 63.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.80 : 94.23 = 42.41 : x
  2. Step 2: Convert to fraction form
    62.80/94.23 = 42.41/x
  3. Step 3: Cross multiply
    62.80x = 94.23 × 42.41
  4. Step 4: Simplify right side
    62.80x = 3,996.53
  5. Step 5: Solve for x
    x = 3,996.53/62.80
  6. Step 6: Final answer
    x = 63.64

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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.