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Finding the Fourth Proportional to 75.75, 104.42 and 57.76

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Solution

The fourth proportional to 75.75, 104.42 and 57.76 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 104.42 = 57.76 : x
  2. Step 2: Convert to fraction form
    75.75/104.42 = 57.76/x
  3. Step 3: Cross multiply
    75.75x = 104.42 × 57.76
  4. Step 4: Simplify right side
    75.75x = 6,031.30
  5. Step 5: Solve for x
    x = 6,031.30/75.75
  6. Step 6: Final answer
    x = 79.62

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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.