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Finding the Fourth Proportional to 80.01, 110.34 and 70.89

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Solution

The fourth proportional to 80.01, 110.34 and 70.89 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.01 : 110.34 = 70.89 : x
  2. Step 2: Convert to fraction form
    80.01/110.34 = 70.89/x
  3. Step 3: Cross multiply
    80.01x = 110.34 × 70.89
  4. Step 4: Simplify right side
    80.01x = 7,822.00
  5. Step 5: Solve for x
    x = 7,822.00/80.01
  6. Step 6: Final answer
    x = 97.76

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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.