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Finding the Fourth Proportional to 75.96, 104.92 and 59.76

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Solution

The fourth proportional to 75.96, 104.92 and 59.76 is: 82.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 104.92 = 59.76 : x
  2. Step 2: Convert to fraction form
    75.96/104.92 = 59.76/x
  3. Step 3: Cross multiply
    75.96x = 104.92 × 59.76
  4. Step 4: Simplify right side
    75.96x = 6,270.02
  5. Step 5: Solve for x
    x = 6,270.02/75.96
  6. Step 6: Final answer
    x = 82.54

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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.