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Finding the Fourth Proportional to 78.68, 117.96 and 33.05

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Solution

The fourth proportional to 78.68, 117.96 and 33.05 is: 49.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 117.96 = 33.05 : x
  2. Step 2: Convert to fraction form
    78.68/117.96 = 33.05/x
  3. Step 3: Cross multiply
    78.68x = 117.96 × 33.05
  4. Step 4: Simplify right side
    78.68x = 3,898.75
  5. Step 5: Solve for x
    x = 3,898.75/78.68
  6. Step 6: Final answer
    x = 49.55

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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.