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Finding the Fourth Proportional to 80.20, 110.72 and 56.92

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Solution

The fourth proportional to 80.20, 110.72 and 56.92 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.20 : 110.72 = 56.92 : x
  2. Step 2: Convert to fraction form
    80.20/110.72 = 56.92/x
  3. Step 3: Cross multiply
    80.20x = 110.72 × 56.92
  4. Step 4: Simplify right side
    80.20x = 6,302.18
  5. Step 5: Solve for x
    x = 6,302.18/80.20
  6. Step 6: Final answer
    x = 78.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.