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Finding the Fourth Proportional to 80.07, 120.20 and 54.06

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Solution

The fourth proportional to 80.07, 120.20 and 54.06 is: 81.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 120.20 = 54.06 : x
  2. Step 2: Convert to fraction form
    80.07/120.20 = 54.06/x
  3. Step 3: Cross multiply
    80.07x = 120.20 × 54.06
  4. Step 4: Simplify right side
    80.07x = 6,497.74
  5. Step 5: Solve for x
    x = 6,497.74/80.07
  6. Step 6: Final answer
    x = 81.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.