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Finding the Fourth Proportional to 80.06, 110.51 and 49.01

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Solution

The fourth proportional to 80.06, 110.51 and 49.01 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 110.51 = 49.01 : x
  2. Step 2: Convert to fraction form
    80.06/110.51 = 49.01/x
  3. Step 3: Cross multiply
    80.06x = 110.51 × 49.01
  4. Step 4: Simplify right side
    80.06x = 5,415.76
  5. Step 5: Solve for x
    x = 5,415.76/80.06
  6. Step 6: Final answer
    x = 67.64

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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.