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Finding the Fourth Proportional to 169.16, 233.21 and 106.96

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Solution

The fourth proportional to 169.16, 233.21 and 106.96 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.21 = 106.96 : x
  2. Step 2: Convert to fraction form
    169.16/233.21 = 106.96/x
  3. Step 3: Cross multiply
    169.16x = 233.21 × 106.96
  4. Step 4: Simplify right side
    169.16x = 24,944.14
  5. Step 5: Solve for x
    x = 24,944.14/169.16
  6. Step 6: Final answer
    x = 147.46

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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.