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Finding the Fourth Proportional to 169.07, 233.16 and 106.80

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Solution

The fourth proportional to 169.07, 233.16 and 106.80 is: 147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 233.16 = 106.80 : x
  2. Step 2: Convert to fraction form
    169.07/233.16 = 106.80/x
  3. Step 3: Cross multiply
    169.07x = 233.16 × 106.80
  4. Step 4: Simplify right side
    169.07x = 24,901.01
  5. Step 5: Solve for x
    x = 24,901.01/169.07
  6. Step 6: Final answer
    x = 147.28

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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.