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Finding the Fourth Proportional to 169.06, 233.29 and 113.78

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Solution

The fourth proportional to 169.06, 233.29 and 113.78 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.06 : 233.29 = 113.78 : x
  2. Step 2: Convert to fraction form
    169.06/233.29 = 113.78/x
  3. Step 3: Cross multiply
    169.06x = 233.29 × 113.78
  4. Step 4: Simplify right side
    169.06x = 26,543.74
  5. Step 5: Solve for x
    x = 26,543.74/169.06
  6. Step 6: Final answer
    x = 157.01

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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.