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Finding the Fourth Proportional to 110.69, 164.91 and 105.53

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Solution

The fourth proportional to 110.69, 164.91 and 105.53 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.69 : 164.91 = 105.53 : x
  2. Step 2: Convert to fraction form
    110.69/164.91 = 105.53/x
  3. Step 3: Cross multiply
    110.69x = 164.91 × 105.53
  4. Step 4: Simplify right side
    110.69x = 17,402.95
  5. Step 5: Solve for x
    x = 17,402.95/110.69
  6. Step 6: Final answer
    x = 157.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.