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Finding the Fourth Proportional to 109.84, 165.12 and 103.56

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Solution

The fourth proportional to 109.84, 165.12 and 103.56 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 165.12 = 103.56 : x
  2. Step 2: Convert to fraction form
    109.84/165.12 = 103.56/x
  3. Step 3: Cross multiply
    109.84x = 165.12 × 103.56
  4. Step 4: Simplify right side
    109.84x = 17,099.83
  5. Step 5: Solve for x
    x = 17,099.83/109.84
  6. Step 6: Final answer
    x = 155.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.