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Finding the Fourth Proportional to 109.96, 164.78 and 55.86

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Solution

The fourth proportional to 109.96, 164.78 and 55.86 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 164.78 = 55.86 : x
  2. Step 2: Convert to fraction form
    109.96/164.78 = 55.86/x
  3. Step 3: Cross multiply
    109.96x = 164.78 × 55.86
  4. Step 4: Simplify right side
    109.96x = 9,204.61
  5. Step 5: Solve for x
    x = 9,204.61/109.96
  6. Step 6: Final answer
    x = 83.71

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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.