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Finding the Fourth Proportional to 111.54, 167.07 and 53.67

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Solution

The fourth proportional to 111.54, 167.07 and 53.67 is: 80.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.54 : 167.07 = 53.67 : x
  2. Step 2: Convert to fraction form
    111.54/167.07 = 53.67/x
  3. Step 3: Cross multiply
    111.54x = 167.07 × 53.67
  4. Step 4: Simplify right side
    111.54x = 8,966.65
  5. Step 5: Solve for x
    x = 8,966.65/111.54
  6. Step 6: Final answer
    x = 80.39

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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.