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Finding the Fourth Proportional to 110.19, 165.14 and 85.85

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Solution

The fourth proportional to 110.19, 165.14 and 85.85 is: 128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 165.14 = 85.85 : x
  2. Step 2: Convert to fraction form
    110.19/165.14 = 85.85/x
  3. Step 3: Cross multiply
    110.19x = 165.14 × 85.85
  4. Step 4: Simplify right side
    110.19x = 14,176.01
  5. Step 5: Solve for x
    x = 14,176.01/110.19
  6. Step 6: Final answer
    x = 128.65

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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.