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Finding the Fourth Proportional to 110.34, 164.42 and 103.37

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Solution

The fourth proportional to 110.34, 164.42 and 103.37 is: 154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 164.42 = 103.37 : x
  2. Step 2: Convert to fraction form
    110.34/164.42 = 103.37/x
  3. Step 3: Cross multiply
    110.34x = 164.42 × 103.37
  4. Step 4: Simplify right side
    110.34x = 16,994.76
  5. Step 5: Solve for x
    x = 16,994.76/110.34
  6. Step 6: Final answer
    x = 154.02

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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.