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Finding the Fourth Proportional to 111.86, 167.86 and 51

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Solution

The fourth proportional to 111.86, 167.86 and 51 is: 76.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 167.86 = 51 : x
  2. Step 2: Convert to fraction form
    111.86/167.86 = 51/x
  3. Step 3: Cross multiply
    111.86x = 167.86 × 51
  4. Step 4: Simplify right side
    111.86x = 8,560.86
  5. Step 5: Solve for x
    x = 8,560.86/111.86
  6. Step 6: Final answer
    x = 76.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.