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Finding the Fourth Proportional to 109.85, 164.57 and 55.78

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Solution

The fourth proportional to 109.85, 164.57 and 55.78 is: 83.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.85 : 164.57 = 55.78 : x
  2. Step 2: Convert to fraction form
    109.85/164.57 = 55.78/x
  3. Step 3: Cross multiply
    109.85x = 164.57 × 55.78
  4. Step 4: Simplify right side
    109.85x = 9,179.02
  5. Step 5: Solve for x
    x = 9,179.02/109.85
  6. Step 6: Final answer
    x = 83.56

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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.