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Finding the Fourth Proportional to 80.14, 110.62 and 52.51

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Solution

The fourth proportional to 80.14, 110.62 and 52.51 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 110.62 = 52.51 : x
  2. Step 2: Convert to fraction form
    80.14/110.62 = 52.51/x
  3. Step 3: Cross multiply
    80.14x = 110.62 × 52.51
  4. Step 4: Simplify right side
    80.14x = 5,808.66
  5. Step 5: Solve for x
    x = 5,808.66/80.14
  6. Step 6: Final answer
    x = 72.48

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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.