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Finding the Fourth Proportional to 75, 103.41 and 58.56

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Solution

The fourth proportional to 75, 103.41 and 58.56 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 103.41 = 58.56 : x
  2. Step 2: Convert to fraction form
    75/103.41 = 58.56/x
  3. Step 3: Cross multiply
    75x = 103.41 × 58.56
  4. Step 4: Simplify right side
    75x = 6,055.69
  5. Step 5: Solve for x
    x = 6,055.69/75
  6. Step 6: Final answer
    x = 80.74

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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.