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Finding the Fourth Proportional to 109.60, 165.28 and 103.36

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Solution

The fourth proportional to 109.60, 165.28 and 103.36 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 165.28 = 103.36 : x
  2. Step 2: Convert to fraction form
    109.60/165.28 = 103.36/x
  3. Step 3: Cross multiply
    109.60x = 165.28 × 103.36
  4. Step 4: Simplify right side
    109.60x = 17,083.34
  5. Step 5: Solve for x
    x = 17,083.34/109.60
  6. Step 6: Final answer
    x = 155.87

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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.