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Finding the Fourth Proportional to 111.86, 167.76 and 39.70

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Solution

The fourth proportional to 111.86, 167.76 and 39.70 is: 59.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 167.76 = 39.70 : x
  2. Step 2: Convert to fraction form
    111.86/167.76 = 39.70/x
  3. Step 3: Cross multiply
    111.86x = 167.76 × 39.70
  4. Step 4: Simplify right side
    111.86x = 6,659.65
  5. Step 5: Solve for x
    x = 6,659.65/111.86
  6. Step 6: Final answer
    x = 59.54

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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.