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Finding the Fourth Proportional to 74.67, 102.82 and 74.44

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Solution

The fourth proportional to 74.67, 102.82 and 74.44 is: 102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 102.82 = 74.44 : x
  2. Step 2: Convert to fraction form
    74.67/102.82 = 74.44/x
  3. Step 3: Cross multiply
    74.67x = 102.82 × 74.44
  4. Step 4: Simplify right side
    74.67x = 7,653.92
  5. Step 5: Solve for x
    x = 7,653.92/74.67
  6. Step 6: Final answer
    x = 102.50

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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.