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Finding the Fourth Proportional to 74.25, 110.88 and 72.56

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Solution

The fourth proportional to 74.25, 110.88 and 72.56 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 110.88 = 72.56 : x
  2. Step 2: Convert to fraction form
    74.25/110.88 = 72.56/x
  3. Step 3: Cross multiply
    74.25x = 110.88 × 72.56
  4. Step 4: Simplify right side
    74.25x = 8,045.73
  5. Step 5: Solve for x
    x = 8,045.73/74.25
  6. Step 6: Final answer
    x = 108.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.