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Finding the Fourth Proportional to 169.58, 254.42 and 78.35

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Solution

The fourth proportional to 169.58, 254.42 and 78.35 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.58 : 254.42 = 78.35 : x
  2. Step 2: Convert to fraction form
    169.58/254.42 = 78.35/x
  3. Step 3: Cross multiply
    169.58x = 254.42 × 78.35
  4. Step 4: Simplify right side
    169.58x = 19,932.14
  5. Step 5: Solve for x
    x = 19,932.14/169.58
  6. Step 6: Final answer
    x = 117.54

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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.