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Finding the Fourth Proportional to 169.09, 233.35 and 106.89

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Solution

The fourth proportional to 169.09, 233.35 and 106.89 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 233.35 = 106.89 : x
  2. Step 2: Convert to fraction form
    169.09/233.35 = 106.89/x
  3. Step 3: Cross multiply
    169.09x = 233.35 × 106.89
  4. Step 4: Simplify right side
    169.09x = 24,941.64
  5. Step 5: Solve for x
    x = 24,941.64/169.09
  6. Step 6: Final answer
    x = 147.51

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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.