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Finding the Fourth Proportional to 62.75, 94.07 and 42.42

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Solution

The fourth proportional to 62.75, 94.07 and 42.42 is: 63.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.75 : 94.07 = 42.42 : x
  2. Step 2: Convert to fraction form
    62.75/94.07 = 42.42/x
  3. Step 3: Cross multiply
    62.75x = 94.07 × 42.42
  4. Step 4: Simplify right side
    62.75x = 3,990.24
  5. Step 5: Solve for x
    x = 3,990.24/62.75
  6. Step 6: Final answer
    x = 63.59

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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.