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Finding the Fourth Proportional to 109.60, 164.33 and 51.83

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Solution

The fourth proportional to 109.60, 164.33 and 51.83 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 164.33 = 51.83 : x
  2. Step 2: Convert to fraction form
    109.60/164.33 = 51.83/x
  3. Step 3: Cross multiply
    109.60x = 164.33 × 51.83
  4. Step 4: Simplify right side
    109.60x = 8,516.14
  5. Step 5: Solve for x
    x = 8,516.14/109.60
  6. Step 6: Final answer
    x = 77.70

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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.