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Finding the Fourth Proportional to 111.96, 169.16 and 111

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Solution

The fourth proportional to 111.96, 169.16 and 111 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 169.16 = 111 : x
  2. Step 2: Convert to fraction form
    111.96/169.16 = 111/x
  3. Step 3: Cross multiply
    111.96x = 169.16 × 111
  4. Step 4: Simplify right side
    111.96x = 18,776.21
  5. Step 5: Solve for x
    x = 18,776.21/111.96
  6. Step 6: Final answer
    x = 167.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.