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Finding the Fourth Proportional to 74.75, 103.11 and 52.88

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Solution

The fourth proportional to 74.75, 103.11 and 52.88 is: 72.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.11 = 52.88 : x
  2. Step 2: Convert to fraction form
    74.75/103.11 = 52.88/x
  3. Step 3: Cross multiply
    74.75x = 103.11 × 52.88
  4. Step 4: Simplify right side
    74.75x = 5,451.74
  5. Step 5: Solve for x
    x = 5,451.74/74.75
  6. Step 6: Final answer
    x = 72.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.