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Finding the Fourth Proportional to 75.56, 104.15 and 59.15

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Solution

The fourth proportional to 75.56, 104.15 and 59.15 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 104.15 = 59.15 : x
  2. Step 2: Convert to fraction form
    75.56/104.15 = 59.15/x
  3. Step 3: Cross multiply
    75.56x = 104.15 × 59.15
  4. Step 4: Simplify right side
    75.56x = 6,160.88
  5. Step 5: Solve for x
    x = 6,160.88/75.56
  6. Step 6: Final answer
    x = 81.54

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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.