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Finding the Fourth Proportional to 169.86, 234.36 and 110.86

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Solution

The fourth proportional to 169.86, 234.36 and 110.86 is: 152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.36 = 110.86 : x
  2. Step 2: Convert to fraction form
    169.86/234.36 = 110.86/x
  3. Step 3: Cross multiply
    169.86x = 234.36 × 110.86
  4. Step 4: Simplify right side
    169.86x = 25,981.15
  5. Step 5: Solve for x
    x = 25,981.15/169.86
  6. Step 6: Final answer
    x = 152.96

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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.