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Finding the Fourth Proportional to 169.08, 233.24 and 113.83

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Solution

The fourth proportional to 169.08, 233.24 and 113.83 is: 157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.08 : 233.24 = 113.83 : x
  2. Step 2: Convert to fraction form
    169.08/233.24 = 113.83/x
  3. Step 3: Cross multiply
    169.08x = 233.24 × 113.83
  4. Step 4: Simplify right side
    169.08x = 26,549.71
  5. Step 5: Solve for x
    x = 26,549.71/169.08
  6. Step 6: Final answer
    x = 157.02

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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.