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Finding the Fourth Proportional to 75.28, 103.89 and 58

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Solution

The fourth proportional to 75.28, 103.89 and 58 is: 80.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 103.89 = 58 : x
  2. Step 2: Convert to fraction form
    75.28/103.89 = 58/x
  3. Step 3: Cross multiply
    75.28x = 103.89 × 58
  4. Step 4: Simplify right side
    75.28x = 6,025.62
  5. Step 5: Solve for x
    x = 6,025.62/75.28
  6. Step 6: Final answer
    x = 80.04

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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.