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Finding the Fourth Proportional to 169.36, 233.62 and 120.30

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Solution

The fourth proportional to 169.36, 233.62 and 120.30 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.36 : 233.62 = 120.30 : x
  2. Step 2: Convert to fraction form
    169.36/233.62 = 120.30/x
  3. Step 3: Cross multiply
    169.36x = 233.62 × 120.30
  4. Step 4: Simplify right side
    169.36x = 28,103.31
  5. Step 5: Solve for x
    x = 28,103.31/169.36
  6. Step 6: Final answer
    x = 165.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.