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Finding the Fourth Proportional to 169.04, 233.25 and 113.94

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Solution

The fourth proportional to 169.04, 233.25 and 113.94 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 233.25 = 113.94 : x
  2. Step 2: Convert to fraction form
    169.04/233.25 = 113.94/x
  3. Step 3: Cross multiply
    169.04x = 233.25 × 113.94
  4. Step 4: Simplify right side
    169.04x = 26,576.08
  5. Step 5: Solve for x
    x = 26,576.08/169.04
  6. Step 6: Final answer
    x = 157.22

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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.