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Finding the Fourth Proportional to 169.29, 233.62 and 114.14

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Solution

The fourth proportional to 169.29, 233.62 and 114.14 is: 157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 233.62 = 114.14 : x
  2. Step 2: Convert to fraction form
    169.29/233.62 = 114.14/x
  3. Step 3: Cross multiply
    169.29x = 233.62 × 114.14
  4. Step 4: Simplify right side
    169.29x = 26,665.69
  5. Step 5: Solve for x
    x = 26,665.69/169.29
  6. Step 6: Final answer
    x = 157.51

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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.