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Finding the Fourth Proportional to 109.96, 164.76 and 73.78

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Solution

The fourth proportional to 109.96, 164.76 and 73.78 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 164.76 = 73.78 : x
  2. Step 2: Convert to fraction form
    109.96/164.76 = 73.78/x
  3. Step 3: Cross multiply
    109.96x = 164.76 × 73.78
  4. Step 4: Simplify right side
    109.96x = 12,155.99
  5. Step 5: Solve for x
    x = 12,155.99/109.96
  6. Step 6: Final answer
    x = 110.55

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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.