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Finding the Fourth Proportional to 110.10, 165.21 and 77.61

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Solution

The fourth proportional to 110.10, 165.21 and 77.61 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 165.21 = 77.61 : x
  2. Step 2: Convert to fraction form
    110.10/165.21 = 77.61/x
  3. Step 3: Cross multiply
    110.10x = 165.21 × 77.61
  4. Step 4: Simplify right side
    110.10x = 12,821.95
  5. Step 5: Solve for x
    x = 12,821.95/110.10
  6. Step 6: Final answer
    x = 116.46

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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.