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Finding the Fourth Proportional to 169.07, 233.42 and 113.89

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Solution

The fourth proportional to 169.07, 233.42 and 113.89 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 233.42 = 113.89 : x
  2. Step 2: Convert to fraction form
    169.07/233.42 = 113.89/x
  3. Step 3: Cross multiply
    169.07x = 233.42 × 113.89
  4. Step 4: Simplify right side
    169.07x = 26,584.20
  5. Step 5: Solve for x
    x = 26,584.20/169.07
  6. Step 6: Final answer
    x = 157.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.