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Finding the Fourth Proportional to 110.90, 166.27 and 65.34

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Solution

The fourth proportional to 110.90, 166.27 and 65.34 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 166.27 = 65.34 : x
  2. Step 2: Convert to fraction form
    110.90/166.27 = 65.34/x
  3. Step 3: Cross multiply
    110.90x = 166.27 × 65.34
  4. Step 4: Simplify right side
    110.90x = 10,864.04
  5. Step 5: Solve for x
    x = 10,864.04/110.90
  6. Step 6: Final answer
    x = 97.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.