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Finding the Fourth Proportional to 169.16, 233.38 and 106.92

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Solution

The fourth proportional to 169.16, 233.38 and 106.92 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.38 = 106.92 : x
  2. Step 2: Convert to fraction form
    169.16/233.38 = 106.92/x
  3. Step 3: Cross multiply
    169.16x = 233.38 × 106.92
  4. Step 4: Simplify right side
    169.16x = 24,952.99
  5. Step 5: Solve for x
    x = 24,952.99/169.16
  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.