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Finding the Fourth Proportional to 169.03, 233.12 and 116.56

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Solution

The fourth proportional to 169.03, 233.12 and 116.56 is: 160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 233.12 = 116.56 : x
  2. Step 2: Convert to fraction form
    169.03/233.12 = 116.56/x
  3. Step 3: Cross multiply
    169.03x = 233.12 × 116.56
  4. Step 4: Simplify right side
    169.03x = 27,172.54
  5. Step 5: Solve for x
    x = 27,172.54/169.03
  6. Step 6: Final answer
    x = 160.76

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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.