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Finding the Fourth Proportional to 80.06, 110.50 and 51.02

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Solution

The fourth proportional to 80.06, 110.50 and 51.02 is: 70.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 110.50 = 51.02 : x
  2. Step 2: Convert to fraction form
    80.06/110.50 = 51.02/x
  3. Step 3: Cross multiply
    80.06x = 110.50 × 51.02
  4. Step 4: Simplify right side
    80.06x = 5,637.03
  5. Step 5: Solve for x
    x = 5,637.03/80.06
  6. Step 6: Final answer
    x = 70.41

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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.