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Finding the Fourth Proportional to 80.02, 111.01 and 77.32

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Solution

The fourth proportional to 80.02, 111.01 and 77.32 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 111.01 = 77.32 : x
  2. Step 2: Convert to fraction form
    80.02/111.01 = 77.32/x
  3. Step 3: Cross multiply
    80.02x = 111.01 × 77.32
  4. Step 4: Simplify right side
    80.02x = 8,583.29
  5. Step 5: Solve for x
    x = 8,583.29/80.02
  6. Step 6: Final answer
    x = 107.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.