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Finding the Fourth Proportional to 109.02, 163.20 and 85.86

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Solution

The fourth proportional to 109.02, 163.20 and 85.86 is: 128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 163.20 = 85.86 : x
  2. Step 2: Convert to fraction form
    109.02/163.20 = 85.86/x
  3. Step 3: Cross multiply
    109.02x = 163.20 × 85.86
  4. Step 4: Simplify right side
    109.02x = 14,012.35
  5. Step 5: Solve for x
    x = 14,012.35/109.02
  6. Step 6: Final answer
    x = 128.53

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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.