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Finding the Fourth Proportional to 109.20, 150.84 and 83.64

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Solution

The fourth proportional to 109.20, 150.84 and 83.64 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 150.84 = 83.64 : x
  2. Step 2: Convert to fraction form
    109.20/150.84 = 83.64/x
  3. Step 3: Cross multiply
    109.20x = 150.84 × 83.64
  4. Step 4: Simplify right side
    109.20x = 12,616.26
  5. Step 5: Solve for x
    x = 12,616.26/109.20
  6. Step 6: Final answer
    x = 115.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.