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Finding the Fourth Proportional to 109.93, 165.60 and 108.52

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Solution

The fourth proportional to 109.93, 165.60 and 108.52 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.93 : 165.60 = 108.52 : x
  2. Step 2: Convert to fraction form
    109.93/165.60 = 108.52/x
  3. Step 3: Cross multiply
    109.93x = 165.60 × 108.52
  4. Step 4: Simplify right side
    109.93x = 17,970.91
  5. Step 5: Solve for x
    x = 17,970.91/109.93
  6. Step 6: Final answer
    x = 163.48

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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.