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Finding the Fourth Proportional to 62.72, 94.28 and 35.72

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Solution

The fourth proportional to 62.72, 94.28 and 35.72 is: 53.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.72 : 94.28 = 35.72 : x
  2. Step 2: Convert to fraction form
    62.72/94.28 = 35.72/x
  3. Step 3: Cross multiply
    62.72x = 94.28 × 35.72
  4. Step 4: Simplify right side
    62.72x = 3,367.68
  5. Step 5: Solve for x
    x = 3,367.68/62.72
  6. Step 6: Final answer
    x = 53.69

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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.