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Finding the Fourth Proportional to 109.93, 165.62 and 105.47

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Solution

The fourth proportional to 109.93, 165.62 and 105.47 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.93 : 165.62 = 105.47 : x
  2. Step 2: Convert to fraction form
    109.93/165.62 = 105.47/x
  3. Step 3: Cross multiply
    109.93x = 165.62 × 105.47
  4. Step 4: Simplify right side
    109.93x = 17,467.94
  5. Step 5: Solve for x
    x = 17,467.94/109.93
  6. Step 6: Final answer
    x = 158.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.