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Finding the Fourth Proportional to 62.44, 93.54 and 49.54

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Solution

The fourth proportional to 62.44, 93.54 and 49.54 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.44 : 93.54 = 49.54 : x
  2. Step 2: Convert to fraction form
    62.44/93.54 = 49.54/x
  3. Step 3: Cross multiply
    62.44x = 93.54 × 49.54
  4. Step 4: Simplify right side
    62.44x = 4,633.97
  5. Step 5: Solve for x
    x = 4,633.97/62.44
  6. Step 6: Final answer
    x = 74.21

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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.