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Finding the Fourth Proportional to 80.56, 111.06 and 52.88

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Solution

The fourth proportional to 80.56, 111.06 and 52.88 is: 72.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.56 : 111.06 = 52.88 : x
  2. Step 2: Convert to fraction form
    80.56/111.06 = 52.88/x
  3. Step 3: Cross multiply
    80.56x = 111.06 × 52.88
  4. Step 4: Simplify right side
    80.56x = 5,872.43
  5. Step 5: Solve for x
    x = 5,872.43/80.56
  6. Step 6: Final answer
    x = 72.90

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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.