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Finding the Fourth Proportional to 110.13, 164.64 and 104.59

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Solution

The fourth proportional to 110.13, 164.64 and 104.59 is: 156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 164.64 = 104.59 : x
  2. Step 2: Convert to fraction form
    110.13/164.64 = 104.59/x
  3. Step 3: Cross multiply
    110.13x = 164.64 × 104.59
  4. Step 4: Simplify right side
    110.13x = 17,219.70
  5. Step 5: Solve for x
    x = 17,219.70/110.13
  6. Step 6: Final answer
    x = 156.36

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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.