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Finding the Fourth Proportional to 111.65, 167.45 and 77.49

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Solution

The fourth proportional to 111.65, 167.45 and 77.49 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 167.45 = 77.49 : x
  2. Step 2: Convert to fraction form
    111.65/167.45 = 77.49/x
  3. Step 3: Cross multiply
    111.65x = 167.45 × 77.49
  4. Step 4: Simplify right side
    111.65x = 12,975.31
  5. Step 5: Solve for x
    x = 12,975.31/111.65
  6. Step 6: Final answer
    x = 116.22

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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.