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Finding the Fourth Proportional to 111.07, 165.90 and 109.04

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Solution

The fourth proportional to 111.07, 165.90 and 109.04 is: 162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.07 : 165.90 = 109.04 : x
  2. Step 2: Convert to fraction form
    111.07/165.90 = 109.04/x
  3. Step 3: Cross multiply
    111.07x = 165.90 × 109.04
  4. Step 4: Simplify right side
    111.07x = 18,089.74
  5. Step 5: Solve for x
    x = 18,089.74/111.07
  6. Step 6: Final answer
    x = 162.87

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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.