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Finding the Fourth Proportional to 169.13, 233.37 and 106.94

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Solution

The fourth proportional to 169.13, 233.37 and 106.94 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.13 : 233.37 = 106.94 : x
  2. Step 2: Convert to fraction form
    169.13/233.37 = 106.94/x
  3. Step 3: Cross multiply
    169.13x = 233.37 × 106.94
  4. Step 4: Simplify right side
    169.13x = 24,956.59
  5. Step 5: Solve for x
    x = 24,956.59/169.13
  6. Step 6: Final answer
    x = 147.56

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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.