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Finding the Fourth Proportional to 110.71, 165.23 and 107.83

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Solution

The fourth proportional to 110.71, 165.23 and 107.83 is: 160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.71 : 165.23 = 107.83 : x
  2. Step 2: Convert to fraction form
    110.71/165.23 = 107.83/x
  3. Step 3: Cross multiply
    110.71x = 165.23 × 107.83
  4. Step 4: Simplify right side
    110.71x = 17,816.75
  5. Step 5: Solve for x
    x = 17,816.75/110.71
  6. Step 6: Final answer
    x = 160.93

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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.