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Finding the Fourth Proportional to 169.10, 233.23 and 106.94

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Solution

The fourth proportional to 169.10, 233.23 and 106.94 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.10 : 233.23 = 106.94 : x
  2. Step 2: Convert to fraction form
    169.10/233.23 = 106.94/x
  3. Step 3: Cross multiply
    169.10x = 233.23 × 106.94
  4. Step 4: Simplify right side
    169.10x = 24,940.18
  5. Step 5: Solve for x
    x = 24,940.18/169.10
  6. Step 6: Final answer
    x = 147.49

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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.