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Finding the Fourth Proportional to 77.28, 106.56 and 60.96

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Solution

The fourth proportional to 77.28, 106.56 and 60.96 is: 84.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 106.56 = 60.96 : x
  2. Step 2: Convert to fraction form
    77.28/106.56 = 60.96/x
  3. Step 3: Cross multiply
    77.28x = 106.56 × 60.96
  4. Step 4: Simplify right side
    77.28x = 6,495.90
  5. Step 5: Solve for x
    x = 6,495.90/77.28
  6. Step 6: Final answer
    x = 84.06

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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.