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Finding the Fourth Proportional to 80.11, 110.53 and 49.01

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Solution

The fourth proportional to 80.11, 110.53 and 49.01 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.11 : 110.53 = 49.01 : x
  2. Step 2: Convert to fraction form
    80.11/110.53 = 49.01/x
  3. Step 3: Cross multiply
    80.11x = 110.53 × 49.01
  4. Step 4: Simplify right side
    80.11x = 5,416.83
  5. Step 5: Solve for x
    x = 5,416.83/80.11
  6. Step 6: Final answer
    x = 67.62

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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.