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Finding the Fourth Proportional to 80.48, 110.37 and 76.16

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Solution

The fourth proportional to 80.48, 110.37 and 76.16 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 110.37 = 76.16 : x
  2. Step 2: Convert to fraction form
    80.48/110.37 = 76.16/x
  3. Step 3: Cross multiply
    80.48x = 110.37 × 76.16
  4. Step 4: Simplify right side
    80.48x = 8,405.23
  5. Step 5: Solve for x
    x = 8,405.23/80.48
  6. Step 6: Final answer
    x = 104.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.