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Finding the Fourth Proportional to 169.10, 233.16 and 106.85

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Solution

The fourth proportional to 169.10, 233.16 and 106.85 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.10 : 233.16 = 106.85 : x
  2. Step 2: Convert to fraction form
    169.10/233.16 = 106.85/x
  3. Step 3: Cross multiply
    169.10x = 233.16 × 106.85
  4. Step 4: Simplify right side
    169.10x = 24,913.15
  5. Step 5: Solve for x
    x = 24,913.15/169.10
  6. Step 6: Final answer
    x = 147.33

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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.