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Finding the Fourth Proportional to 169.93, 254.81 and 78.54

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Solution

The fourth proportional to 169.93, 254.81 and 78.54 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.93 : 254.81 = 78.54 : x
  2. Step 2: Convert to fraction form
    169.93/254.81 = 78.54/x
  3. Step 3: Cross multiply
    169.93x = 254.81 × 78.54
  4. Step 4: Simplify right side
    169.93x = 20,011.11
  5. Step 5: Solve for x
    x = 20,011.11/169.93
  6. Step 6: Final answer
    x = 117.76

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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.