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Finding the Fourth Proportional to 110.14, 164.17 and 106.90

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Solution

The fourth proportional to 110.14, 164.17 and 106.90 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 164.17 = 106.90 : x
  2. Step 2: Convert to fraction form
    110.14/164.17 = 106.90/x
  3. Step 3: Cross multiply
    110.14x = 164.17 × 106.90
  4. Step 4: Simplify right side
    110.14x = 17,549.77
  5. Step 5: Solve for x
    x = 17,549.77/110.14
  6. Step 6: Final answer
    x = 159.34

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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.