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Finding the Fourth Proportional to 110.61, 166.18 and 69.61

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Solution

The fourth proportional to 110.61, 166.18 and 69.61 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.61 : 166.18 = 69.61 : x
  2. Step 2: Convert to fraction form
    110.61/166.18 = 69.61/x
  3. Step 3: Cross multiply
    110.61x = 166.18 × 69.61
  4. Step 4: Simplify right side
    110.61x = 11,567.03
  5. Step 5: Solve for x
    x = 11,567.03/110.61
  6. Step 6: Final answer
    x = 104.57

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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.